Found this while trying to figure out if, like 19 in cribbage, there is an impossible score in NFL rules football.
It shows all possible score combinations and which have happened - or not.
Technically, a team can score any number (til a team can have a score of 1). But, games cannot have certain scores. A 2-2 game is possible, but has never happened. 1-(1 to 5) is impossible. But 6-1 is.
*I edited because i got the ‘how to score 1 point’ wrong
And as the linked page itself points out, everyone should go watch the excellent video that launched the Scorigami concept