I remember reading about police officers who hit a gunman multiple times in the kill zone. They never did "stop" him. He finally died of blood loss.
Maybe a point blank blast of 12 guage 00 buck to the head of some bad guy might "stop" him.
With a 22 magnum? Doubtful. The best you could hope for is to hit the perp and make the whole ordeal so costly to him he'll just run. Just hope it's not really cold outside cause he'll be bundled up and the bullet won't travel as far.
"I say, boy, I say, you're doing a lot of choppin', but no chips are flyin'."