It would be extremely unlikely, but not impossible for HIV to be transmitted through a fight. Theoretically, the fight needs to be bad enough that there is a decent amount of blood and also, there are open wounds that are deep enough to allow the virus to enter the bloodstream.
If there is blood present, then theoretically there is a risk of transmission. So yes, it can happen but the likelihood of it happening is very, very small. If you’ve been in a fight with someone and you’re worried, getting tested just for the peace of mind is always a good idea.