The story is true. Voldemort tried to kill Harry, the spell rebound because Harry was protected and it killed his body. He spent a long time figuring out how to rebuild himself and he did it by attaching himself to someone else.
If we can destroy his body he'll be too weak to really hurt anyone unless he can figure it out again. But I don't know if the same thing will work with the body he's got now, it's not really...human I think.
But you're right, without the horcruxes, even Harry can't kill him.