You cannot score a single point in football.
Yes, you can get one point from the extra point after a touchdown, but that requires you to score six points in the first place.
The most points scored in a NFL video game is 105 points.
The Carolina Panthers scored the fewest points in the 2010 NFL season, with only 196.
LA Rams
Morten Andersen
56
Buffulo Bills
The most points scored by one team is 73, by the Chicago Bears in the 1940 NFL Championship game. The most scored by both is 113 (Washington 72, New York 41), set in 1966.
6
zero
Jerry Rice
10
Jerry Rice holds the record for the most points scored in NFL history among non-kickers.