Jim Bowie said:
No way! Jason doesn't eat flesh, nor does he show any signs of pain as induced by lack of eating said flesh.
Jason is as much of a zombie as Micheal Myers. He's a demon.
He's a poorly-fleshed out (pardon the pun) horror monster.
Also, Michael Myers isn't really a zombie. I'd say, if anything, he's the only one in the movies that has cartoon rules apply to him. You can shoot him (FIVE TIMES!!!), make him fall a few stories, and clock him in the head: He'll keep right on going. His origin is actually pretty creepy as far as backstories go, though. Although it's never explained - to the benefit of the suspense - Michael Myers was simply a child that either went completely psychotic one Halloween night, or was possessed by a demon. Now, as far as Hollywood is concerned, the latter makes him impervious to certain levels of pain that would normally hurt/kill a human. See also: The Exorcist.