Games : Is it possible to dodge a Tower shot after it has locked onto you and fired?

Is there anyway to dodge a Tower shot after it has already been fired at you? I find myself Tower-Diving to chase an enemy down, only to get sniped at the last second by a heavy bullet that had been chasing me. Is there a way to dodge it one after it has been fired after me?

I would prefer answers that can apply to many/all champions.