For what it's worth, rabbits are neither rodents nor felines, they are their own category, called lagomorphs.
Rabbits have their own personalities. Mine was a very relaxed and friendly fellow, not prone to biting.
However, he did nip my wife on the butt one time when she didn't move after he poked her to move. And he did lash out at me once, but it was my fault.
I had a cat, a long time ago. I got a few bites and scratches from him.
I don't think any of the dogs through the years have ever bitten me, not enough to draw blood anyway.
I think I have drifted off topic.