Rabbits cannot catch syphilis. Syphilis is a sexually transmitted infection that primarily affects humans and some other primates. It is caused by the bacterium Treponema pallidum, which is specific to humans. While rabbits can contract certain diseases and infections, syphilis is not one of them. However, it is important to ensure that rabbits receive proper veterinary care and are protected from diseases that are specific to their species. Regular check-ups, vaccinations, and a clean and healthy living environment are crucial for maintaining the well-being of rabbits.