Well, for many years in the NFL it was deemed an illegal play. Pushing or pulling a teammate with the ball was always a penalty, until the league changed the rules about 20 years ago.
This debate always reminds me of an article in the Washington Post I read when I was a kid, probably 50-55 years ago that proposed using a giant man, like Andre the Giant, to take a dwarf man who has the ball, and throw him over the line of scrimmage. The author (can’t recall if it was Shirley Povich, or someone else) surmised that the play would be unstoppable for at least a 3-5 yard gain every play. The only drawback being if the opponent had their own Giant and dwarf defensive combo, then the midair collisions could be horrid. Author argued that as the rule was written, the player would be propelled by throwing, not “pushing or pulling,” as was written in the NFL rule book.
An all-time article, IMO, obviously because it has stayed with me for half a century plus.