Can i be a Proffesional Golfer?

Yardages don't mean much. Tournament results do. Sign up for local junior events and take it from there. If you dominate the field then you can take it from there. The 12-13 brackets score pretty low however. I was in a similar position as you when I was 13, scoring wise, and averaging an 80 it was hard to be in contention. Good golfers at your age will be shooting a few over par, even on unfamiliar courses. Just keep practicing and focus on your short game, especially putting. If you don't see a swing coach that would be good as well if you are serious about the sport