Man does not possess a soul. He is a soul. The Bible says that God breathed the breath of life into the body, and it became a living soul.

The Catholic Answers

That breath of life was either a definite something, or it was nothing. But you cannot tell me that nothing vitalized that body. It was a definite something, and that something was a created human intelligent soul. Again, if man has not got a soul, then instead of being composed of body and soul, he is a body. And if that body is a soul, then a soul wears boots! However you quote the Bible, the authority of which we shall consider later. Meantime, since you accept it, you will notice that Christ clearly shows the difference between the material body and a spiritual soul when He said, “Handle and see, for a spirit hath not flesh and bones, as you see me to have.” Lk. XXIV., 39. A body, of flesh and bone, could never become a living soul. Man was but named after the superior element of his being.

Radio Replies Volume 1 by Rev. Dr. Leslie Rumble MSC and Rev. Charles Mortimer Carty