Sure, I could do it. I don't think I'd miss much besides the occasional shrug.
Deadlifts, power cleans, pressing, curls, and rows would all be doable. You can do chin-ups literally anywhere, and I wouldn't miss the bench one wink. BTN's can be Steinborn squatted onto your back and then pressed.
Squatting wouldn't even be an issue. Just put up boxes on either side and load plates, like Paul Anderson.
Best situation would be with bumper plates, so if your gym only has regular plates (like mine) you might get in trouble if you have to bail all the time.
So it's definitely doable without missing a beat, in my opinion.
Form follows function.