Thanks so much!! That's really good to know. So far whenever I've seen one nearby my rabbits it would be on the other side of the yard but I know they see each other and I'm always scared that if it were to ever come closer to them it might start a fight.Yes.Well, kinda, not all my rabbits are pets.
One wild buck even knocked up one of my does, more than twice his size. That 1,5kg buck ran through my 60x80mm fence without slowing down noticable. Since he didn't move on I caught him and set him free an the other side of the river, on good bunny land.
That was an interesting litter. I even could sell 2 of those does to a farmer who wanted to repopulate his land with rabbits, but didn't have luck with wild rabbits.
There was some interaction before, in my first year with rabbits, when Myxo got from the wild population to my rabbits, killing 13 out of 14. Sole surviver was my Fury, which I put into quarentine in my kitchen and which pretty much destroyed my apartment in the next 8 months. Back then, when it started, I didn't know anything about it, wasn't alarmed by that obviously sick wild rabbit I saw some weeks earlier not far away.
Our wild rabbits in the US (cottontails) cannot successfully breed with domestic rabbits so you wouldn't have to worry about that. We also don't vaccinate our rabbits either. I would mostly be concerned (as others have also said) about what a wild rabbit may be carrying in terms of parasites or disease if it gets too close to areas your rabbit may wander.