I think you should pursue both goals if you have the energy.
Good. Scheduling will be everything for you if you decide to follow both paths. Work hard long days and schedule carefully to increase knowledge and skill in both fields. It would be really cool to play in the NBA for a few years then become a neurosurgeon! I think the basketball will help you focus on your studies as well and keep your eyes on the long term prize. And the long term prize will help you keep your A-game on the court.