Check if there’s anywhere nearby that sells large quantity, high-quality meat. When I was at uni there was a Meat Factory nearby which sold large packs of any meat you could think of and it was much cheaper than the supermarkets but consistently good. Not a lot of fat/ waste and wasn’t pumped with water.
Otherwise you’re going to have to bulk up the protein from shakes.
The only other problem will be if you don’t have storage space - fridge/ freezer room, whilst remembering to still be courteous of the other tenants (if you’re sharing).
Fat and carbs shouldn’t really have much of an issue with being at uni.