Yes, The work that God accepts is faithMy Leader Jesus Christ means exactly what he says when he says "This is the work of God, that you believe in Him whom He has sent" (John 6:29)!
You may quote your Leader John Calvin's words "People who infer from this passage that faith is God’s gift are mistaken, for Christ does not show here what God produces in us, but what God wants and requires from us" with your exaggeratedly large font carrying your leader's message to emphasize your free-willian philosophy support structure as intentionally frequent as you already have committed yourself to quoting him, but you remain quoting falsehood. Your John Calvin is a stranger to me (John 10:5).
Your foundation is the shifting sand of "the truest way of working the work of God is that you believe in Him whom He has sent" (TomL 6:29).
You are proven wrong about your "faith is a work of man" doctrine because Lord Jesus Christ conveys "by grace you are saved through faith" (Ephesians 2:8) and "faith, and that not of yourselves, it is the gift of God" (Ephesians 2:8).
As a blessed Christian in the solid foundation in Christ, I believe in Lord Jesus Christ, and I follow the Way (John 14:6), who is the Truth (John 14:6), and God has me here proclaiming Christian doctrine. Lord Jesus Christ is Life (John 14:6)!
Acts 16:31 (NASB95) — 31 They said, “Believe in the Lord Jesus, and you will be saved, you and your household.”
John 20:31 (NASB95) — 31 but these have been written so that you may believe that Jesus is the Christ, the Son of God; and that believing you may have life in His name.
John 3:36 (NASB95) — 36 “He who believes in the Son has eternal life; but he who does not obey the Son will not see life, but the wrath of God abides on him.”
John 3:14–16 (NASB95) — 14 “As Moses lifted up the serpent in the wilderness, even so must the Son of Man be lifted up; 15 so that whoever believes will in Him have eternal life. 16 “For God so loved the world, that He gave His only begotten Son, that whoever believes in Him shall not perish, but have eternal life.
which is why scripture tells men to believe
The work that God requires as even your fellow Calvinists below affirm
John Calvin: “People who infer from this passage that faith is God’s gift are mistaken, for Christ does not show here what God produces in us, but what God wants and requires from us.” (The Crossway Classic Commentaries: John; Crossway Books; Wheaton, IL; 1994, p.393)
And another
This is the work of God. This is the thing that will be acceptable to God, or which you are to do in order to be saved. Jesus did not tell them they had nothing to do, or that they were to sit down and wait, but that there was a work to perform, and that was a duty that was imperative. It was to believe on the Messiah. This is the work which sinners are to do; and doing this they will be saved, for Christ is the end of the law for righteousness to every one that believeth, Ro. 10:4.11 Albert Barnes, Notes on the New Testament: Luke & John (ed. Robert Frew; London: Blackie & Son, 1884–1885), 244.
As well as others who are not Calvinists
Believe. Faith is put as a moral act or work. The work of God is to believe. Faith includes all the works which God requires. The Jews’ question contemplates numerous works. Jesus’ answer directs them to one work. Canon Westcott justly observes that “this simple formula contains the complete solution of the relation of faith and works.”11 Marvin Richardson Vincent, Word Studies in the New Testament (vol. 2; New York: Charles Scribner’s Sons, 1887), 148–149.
The meaning is not,—that faith is wrought in us by God, is the work of God; but that the truest way of working the work of God is to believe on Him whom He hath sent.11 Henry Alford, Alford’s Greek Testament: An Exegetical and Critical Commentary (vol. 1; Grand Rapids, MI: Guardian Press, 1976), 761.
Unlike you their exegesis is based on the context.