Not exactly ... at least not biblically or biologically.
Let's look into this, Biblically
Scripture does not teach that only humans have a “spirit.”
In fact:
Ecclesiastes 3:19–21
“Man has no advantage over the animals… they all have the same breath (ruach)… Who knows whether the spirit of man goes upward and the spirit of the beast goes down into the earth?”
FACT:
The Hebrew word ruach (spirit/breath/life-force) is used for both humans and animals.
So we have...
Animals = life spirit/breath from God while
Humans = life spirit plus something more
What actually makes humans different biblically?
The Bible points to the image of God, not merely “spirit.”
Genesis 1:26–27
26. Then God said, “Let Us make man in Our image, according to Our likeness; and let them rule over the fish of the sea and over the birds of the sky and over the cattle and over all the earth, and over every creeping thing that creeps on the earth.”
27.God created man in His own image, in the image of God He created him; male and female He created them.
What that includes is,
moral awareness
rational thought
self-reflection
capacity for worship
covenant relationship with God
eternal accountability
Animals are alive by God’s breath, but they are not image-bearers.
Think of it this way....
“What uniquely distinguishes humans is not merely having a spirit, but being created in the image of God with moral, rational, and spiritual capacity to know and relate to Him.”
“Animals have life-breath, but humans uniquely bear God’s image.”
So the next time you hear or read someone questioning ....Do animals have spirit/breath?
You can definitively answer Yes... Eccl 3:19-21
Eccl 3:19 For the fate of the sons of men and the fate of beasts is the same. As one dies so dies the other; indeed, they all have the same breath and there is no advantage for man over beast, for all is vanity.
3:20 All go to the same place. All came from the dust and all return to the dust.
3:21 Who knows if the spirit of man rises upward and the spirit of the animal descends into the earth?