I do it all the time, I wake up pretty late usually like noon.
I eat 2-3 table spoon of glutamine peptides. Drink a couple cups of water. Take an ECA stack for a quick shift from wake to energized.
shower ect.. then hit the gym.
I've had no problems dying in the middle of a workout, On the days when I do manage to get up early and eat a good break fast ect... my lifts don't seem to improve or anything which means I'm not hurting my performance by doing it on an empty stomach like that.
I actually feel better lifting on an empty stomach, especially when squating.
Then again, I generally don't eat much for carbs, so that could be a reason eating or not eating doesn't seem to play much of a role in my workouts.