Not exactly, the First Part of the prophecy was self fulfilling.
It said that a specific boy was going to kill the dark lord.
But the description fit 2 boys, Harry and Neville.
He decided that Harry must be the one, so went and tried to kill him First which backfired and created the new hidden horcrux.
So Voldemort set the fulfillment of the prophecy in motion himself.
Because of this Harry was later able to kill him by sacrificing his life and Voldemort destroyed the last Horcrux himself.
One cannot live while the other survives.
Had Voldemort ignored the prophecy nothing would have happened at all, no chosen one to challenge him.