Can you? Um... I guess you could. There are adapters from square to hex to use power bits. I have one of the Milwaukee 3/8" ones, and it broke the first time I stuck it on my M18 Fuel gun. It still works, just the release collar pops off.
If you're doing interior work, compact is usually the order of the day. The Fuel compact (not the big, new Fuel 1/2" high torque impact) is pretty compact, but not once you stick that hex adapter, or a 3/8" adapter, or that and a 1/4" square adapter on it. It's also going to be lacking the ***-kicking power the high torque impact is supposed to have. Personally it kinda sounds like the worst compromise to me... it's a little underpowered for a 1/2", and it'll be huge and overpowered for 1/4" bits or sockets. I'd get the 3/8" personally (and I did) since you can get it down to 1/4" square or hex with just one adapter as well as up to 1/2", and it's only down 10 ft./lb. from the 1/2".