Usually flying and parachute programs are entirely voluntary...and are competitive to get into. Now, if you mean "will I be required to pilot an aircraft?" the answer is probably not. If you mean, "Will I be required to fly somewhere?" the answer is yes.
The Academy is a college. You will get your B.S. degree here. There are several ways to get advanced degrees after graduation.
I don't know the application process for US citizens in foreign countries, but you could contact admissions at this address or phone number to find out.
HQ USAFA/RRS
2304 Cadet Dr, Ste 200
USAF Academy CO 80840
1-800-443-9266
fax: 719-333-3647
rr_webmail@usafa.edu