Yes, it’s very much a danger, as is a human who’s walking. In some ways, wheelchair movement can be more and less dangerous than a walking owner.
More: Rather than two feet, there are four wheels, meaning more for you to monitor. You’ll need to scan 360* as you move, looking at each wheel. Additionally, a wheelchair doesn’t make the same step noises as feet do, so a rabbit may not readily perceive the wheels and contraption as a moving object, thus more close proximity.
Less: Lots of rabbit lick their owners feet, which is pretty dangerous when you’re trying to walk somewhere. I don’t think a rabbit would be tempted to groom wheels. Also, the movement for wheelchairs is more straightforward, while walking feet seem to turn and step in random places, making it hard to predict. A rabbit could probably better follow a wheelchair than walking feet, because of the pathing of wheelchairs and their angles of turning/time dedicated to turning.
I’ve tripped over and kicked Wick into a wall multiple times when I first got him. My goodness. I think if you take the same precautions as any rabbit owner in not moving until you know where your rabbit is, and constantly remembering rabbits barely make noise when moving and typically will run up to you sporadically, it should be the same danger as someone sans wheelchair. The main disadvantage is you can’t feel if a rabbit collides with a wheel, vs colliding with a foot. There are many times where I suddenly stop because I realize I’m running into Wick.
Maybe once you get a read on where he typically goes when, you can go a bit more naturally, but I’d say stick with slow.
The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.