Do Exercises Help To Increase The Height?

I am 19 year old and will be 20 after 2 months. my concern is with my height as well as my hair loss. I dont think I have gained a single inch from last 2 years. My height is 5'6 and I really look short as compared to my friends. on the other hand, I am facing hair loss problem (from last 2-3 years). My parents also has this problem but if it is hereditary, I don't think it should start at this age. Is there any way I can resist looking so aged and short? I am willing to do any exercise but am not confirm if its possible to increase height at this age or not.