No chance. The battery is loaded with sensors. Any charging is going to stop immediately if the temperature gets too high. Even your cell phone has battery temperature sensors built in to the battery pack.

People get all sorts of repairs done all the time. What makes a Tesla so special? Ever had your brakes replaced at a repair shop? Somehow the world doesn't stop turning and all the liability issues you speak of don't seem to be a problem, yet brake failure would be very bad.