Could I become the best golfer in the World?

Is there any rule that says that if I could consistently hit the ball up and catch it, I couldn't place it next to the hole and putt it in. I know I'll get a 2 stroke penalty for catching my ball and not replacing it in it's original spot, but I could get a minimum of Par on every Hole. A Birdie or Eagle on every Par 4/5. I know the hole (caught it before posting, but I'm leaving it for the Pun) thing is stupid, but that's why I'm here. What's the rule preventing me from doing that?