The answer to this is "No". First of all, the Law of Moses was ONLY given to the Jewish nation of Israel, so Gentiles were never commanded to keep the Law, unless they wanted to become a proselyte, i.e. to convert to Judaism.
Is your goal to know God and Jesus by embodying His likeness through experiencing being a doer of His character traits? If so, then God’s character traits are eternal, so any instructions that God has given for how to do that are eternally and cumulatively valid. For example, God could give two people different sets of instructions for how to be a doer of His righteousness in various situations, but all of those instructions are going to have the same character trait in common and all of them are valid for a third person who has the above goal even though God did not directly give them any instructions. Israel was given those instructions in order to equip them to be a light and a blessing to the nations by turning them from their wickedness and teaching the nations to obey them in accordance with the promise and with spreading the Gospel of the Kingdom.
In Matthew 4:15-23, Jesus began his ministry with the Gospel message to repent for the Kingdom of God is at hand, which was a light to the Gentiles, and the Mosaic Law was how his audience knew what sin is (Romans 3:20), so repenting from our disobedience to it is a central part of the Gospel of the Kingdom, and it would be contradictory for this message to be a light to the Gentiles if Gentiles were not intended to obey the Mosaic Law.
Christ set a perfect example for us to follow of how to practice Judaism by walking in sinless obedience to the Mosaic Law and we are told to follow his example (1 Peter 2:21-22) and that those who are in Christ are obligated to walk in the same way that he walked (1 John 2:6), so it would be contradictory for Gentiles to want to become followers of Christ while not wanting to follow him.
In Titus 2:14, Jesus gave himself to redeem us from all lawlessness and to purify for himself a people of his own possession who are zealous for doing good works, so the way to believe in the Gospel that Jesus spent his ministry teaching by word and by example and in what he accomplished through the cross is by repenting and becoming zealous for doing good works in obedience to the Mosaic Law (Acts 21:20) while someone who had not obligation to obey the Mosaic Law would have not need for any of that.
The Law of Moses, also called the Old Covenant, ended, when Christ brought in the New Covenant, which was in the first century A.D., so really no one has been required to keep the Law of Moses since then - not Jews, not Gentiles, not Christians and not non-Christians.
It is true that being a doer of charity is in accordance with God’s righteousness, which is independent of any covenant that God has made, so while God’s covenants can in instructions to be doers of charity as part of their stipulations, a covenant becoming obsolete does change the fact that it is in accordance with God’s righteousness to be a doer of charity as part. God’s righteousness is eternal (Psalms 119:142), therefore all of God’s righteous laws are also eternal (Psalms 119:160) and the only way to end God’s eternal instructions for how to be a doer of His righteousness would be by first ending His eternal righteousness. Sin was in the world before the law was given (Romans 5:13), so there were no actions that became righteous or unrighteous when the law was given, but rather the law revealed what has always been and will always be the way to do that.
The reason why Jesus established the New Covenant was not in order to nullify anything that he spent his ministry teaching or so that we could continue to have the same lawless that he gave himself to redeem us from and that caused the New Covenant to be needed in the first place, but rather the New Covenant still involves following the Mosaic Law (Ezekiel 36:26-27, Jeremiah 31:33).
God gave all those who were or are interested a strong "hint" that He was done with the Law of Moses, when Jesus was crucified, which was about 30 A.D. Right after He died, the Scripture tells us that the curtain in the temple in Jerusalem, between the Holy place and the Holy of Holies - was supernaturally torn in two, from top to bottom. God was indicating that when Christ died, He "opened up the door" into the very presence of God, which is the actual Holy of Holies in heaven, for all who by faith in His shed blood and resurrection, have received His forgiveness of sins and indwelling of the Holy Spirit.
It is a common practice for someone to rend their garments in mourning, so the curtain being ripped is essentially God rendering His garments, which has nothing to do with hinting that He was done with the Law of Moses.
Why do you think that you need forgiveness of sins if you don’t think that you are obligated to refrain from doing what God has revealed to be sin through the Mosaic Law? In Romans 8:4-7, Paul contrasted those who walk in the Spirit with those who have minds set on the flesh who are enemies of God who refuse to submit to the Mosaic Law.
No longer was it necessary to offer temple sacrifices, or to even use the temple at all. Nonetheless, it appears that the Jews who rejected Christ, most likely repaired the curtain, hardly even phased by the miracle of it being torn supernaturally, and went right back to their sacrifices.
Paul took a Nazarite vow, which involved making offerings and in Acts 21:20-24, he planned to pay for the offerings of others in order to show that he continued to live in obedience to the Mosaic Law. In Hebrews 8:4, it refers to offerings that were still being made in accordance with the Mosaic Law, so offerings did not cease with the death or resurrection of Jesus but only ended because of the destruction of the Temple.
Then, forty years later, in 70 A.D., God gave an even stronger hint - He had the Romans totally destroy the temple and the city of Jerusalem. A huge part of keeping the Law of Moses had to do with animal sacrifices and other sacrifices in the temple, so it was impossible to continue obeying that part of the Law of Moses.
Laws in regard to Temple practice that were no longer followed after the destruction of the 1st Temple were once again followed after the construction of the 2nd Temple, so there is nothing about the destruction of the 2nd that means that God is done with the Mosaic Law, but just the opposite. The Temple was destroyed because of Israel’s disobedience to the Mosaic Law, so its destruction means that we should repent from our lawlessness, not that we are free to continue being doers of lawlessness.
Since Christ came, He requires those who wish to follow Him - Christians - to keep His commandments, which Paul called the Law of Christ. There are several laws in the Law of Moses, which were also given in the New Covenant. For example, 9 of the 10 commandments were repeated in the New Covenant - only the 4th commandment, keeping the Sabbath day was not repeated Why? Because it was a ceremonial law, not a moral law. The other 9 law were moral laws, which do not change. The Sabbath Day law is considered a ceremonial law, not a moral law. Moral laws originate from the moral character of God.
Christ spent his ministry teaching his followers to obey the Law of Moses by word and by example and I see no justification for thinking that the Law of Christ is something other than or contrary to what Christ taught. Christ quoted three times from Deuteronomy in order to defeat the temptations of Satan, which included saying that man shall not live by bread alone but by every word that comes from the mouth of God, so we have no need for him to specifically repeat everything that God has spoken in order to knows that we should still obey God.
Indeed, moral laws are based on the character of God and the goal of the Mosaic Law is to teach us how to be a doer of the character of God, so everything in it is a moral law. Holiness is part of the character of God, so it is a moral issue, and we are told in 1 Peter 1:16 to be holy as God is holy, which is a quote from Leviticus where God was giving instructions for how to do that, which straightforwardly includes keeping God’s Sabbaths holy (Leviticus 19:2-3).
The laws in the Law of Christ are to be kept by the power of the Holy Spirit through faith, unlike the Law of Moses, which was often only obeyed by their own will power. However, many Jews realized that if they put their faith in God, even though they did not have the indwelling Holy Spirit, they were still enabled to keep the Law more completely, than without faith in God.
So faith was exercised in both the Old Covenant and now in the New Covenant.
In Psalms 119:29-30, he wanted to put false ways far from him, for God to be gracious to him by teaching him to obey the Mosaic Law, and he chose the way of faith by setting it before him, so this has always been the one and only way of salvation by grace through faith.