Can/will the Air Force PCS you a new base if you've been accepted to a school near that base?

I am going to assume that you meant civilian school acceptance. Can they? Yes. Will they; not necessarily. Have you applied for school already? Accepted?

If everyone's individual criteria for dream-sheeting was the priority, we may not have total force. "I want to be close to Harvard", "I want to live close to my parents" would result in a nightmare for the AF and the manpower world.