Essentially yes. Time for some KH talk, cause I rarely get to do so.
In the KH universe, a person is made up of Body, Soul, and most importantly Heart.
Body+Soul+Heart=Whole person.
When a person loses their soul, they die(Sora is unique in this case, having lost his soul and not dying) but when a person loses their heart, if they were strong willed enough, the Soul and Body go do their own things.
In KH, Sora had to give up his heart to save his friend. So the Heart was removed from the equation and something known as a Nobody was born.
Soul+Body=Nobody.
Sora however, regained a body of his own and continued on his adventures. While his Nobody, Roxas, went off and did his own thing.
Heart=Sora doing his own thing.
Body and Soul=Roxas doing his own thing.
Given that Sora really is treated like the Messiah of the world, it's understandable that he could exist(not completely though) without his soul.