If chosen to be a bone marrow donor, can I have the procedure done at my local hospital?

I am interested in becoming a bone marrow donor. I know that you give a sample and are then put into the registry. I was just wondering that if I am chosen can I go to my local hospital to have the procedure done? Or do I have to travel to another hospital? I am a college student and am not able to easily leave town. Thank you for your answers. This is something I would really like to do.