Yes, in 1989, in the Celtics v. Hawks game.
If a game is that miraculous then Yes it can go 5 overtimes
The Indiana Olympians defeated the Rochester Royals 75-73 in six overtimes--the longest game in NBA history
As far as college and NBA is concerned, there is no limit as to the number of overtimes that can be played before determining a winner of the game.
as many as needed, games are usually decided in 1 or 2, but there is no limit
Six overtimes in a game between Indianapolis Olympians and the Rochester Royals on January 6, 1951. Indianapolis won 75-73 in this 4 hour game.
Usually an overtime lasts 5 minutes but it depends how many overtimes they go in to.
6. January 6, 1951 between the Indianapolis Olympians and the Rochester Royals. It took six overtimes to decide the final score of 75-73 in favor of Indianapolis.