It's technically possible, but even if the Super Bowl winners were to play against your local Peewee Football League team, they might have some difficulty doing so. That's about a touchdown every two minutes of clock time, meaning they would have to kick off, recover the ball, and score a touchdown in that time, consistently, for the entire game. It's doable. But it's not likely to happen in a game anyone would be interested in watching, because it would mean the teams were so mismatched in ability there would literally be no point in even playing.
The highest legitimate score I've ever personally seen in a football game is 99 points, which is only about 12 touchdowns by the time you factor in extra points, and that game was not really very interesting to watch; the coach on the 99 point side was, by halftime, playing every bozo who was eligible in any position they wanted to try ("You're the 4th string JV left tackle, and you'd like to try quarterback? You've got 15 practices, right? Okay, you're in.") because there was literally no danger of the other team winning.
The quarterback scored three passing touchdowns in the game.
Scoring 5 touchdowns in a game means nothing. People who have scored no touchdowns in a game have gone to college.
GEORIGA TECH'S DEFFENCE
Emmitt Smith scored 25 touchdowns in 1995.http://www.pro-football-reference.com/players/S/SmitEm00.htm?redir
4
The only limit on this is the game's time limit (60 minutes) and the team's ability to score a touchdown. There is no officiial limit on the amount of touchdowns in a given game.
The information on the ESPN database on the touchdowns of Jerry Rice against Deion Sanders in one game indicate they are a lot. There were 19 scored in one game.
88 total touchdowns
They scored two touchdowns and one field goal making their total score 17.
They made around 47 touchdowns.
There were three total touchdowns scored in the game, not including passing touchdowns.
There were three total touchdowns scored in the game, excluding passing touchdowns.