Can a 16 year old start a sport and become a pro?

Actually, I'm 15 yrs old, but 16 in September. I do a bit of sport, but I especially like table tennis and badminton. However, I don't play it very often (1 hr per week, if that) due to my school not having a club in either sport. If I got the school to start a club, and did the sports more regularly, do you think that 16 yrs old is too old to start? Could I become a professional?