Can a football game end with a score of 6-1? Yes Anthony, it theoretically can. The winning team would have had to score a touchdown and botch the extra-point so badly one its players got tackled in its own end zone at the other end of the field. It would be a one-point safety. One point safeties have happened in college ball — albeit the victim was the defensive team — but never in the pros. Obviously, a 6-1 score never happened.