Gun hunting maybe, if you see the deer on the ground thrashing around - a shot to the head or neck. I have done this.
Bow hunting = NEVER. With a bow, 30 minutes is the minimum. Otherwise you can push a deer 1/2 mile away. And even after 30 minutes, if there is no trail and you think it might be a gut shot, back off and wait til morning.
exactly...half a mile is nothing for a wounded deer they can go a lot further!! If you are in a climbing tree stand its also best to wait the 30 minutes to calm down so you don't hurt yourself on the way down!