I'm a 5'9 16 year old teen. My dad is 6'2 and my mom is 5'7, will I be able to reach 6'0?

www.wolframalpha.com/input/?i=growth+chart+male,16yr,5%279%27%27,150+lbs&lk=6&ab=c

Type your details in and see what you get. You almost certainly will grow some more by age 21 or so. After that there are just two ways to make yourself taller:
1. Put lifts in your shoes.
2. Put a box on your head.