It is possible to transmit some viral and bacterialillnesses from humans to rabbits, however, rabbits are not known to contract rhino viruses that cause colds in humans.
Lucky for that! I have to completely leave my hamster alone when I'm sick... they catch human colds quite easily, only they can be much more serious in a hamster than in a human. That's good to know that rabbits can't catch them, though. I'll keep it in mind!