The domestic rabbit we all know and love is descended from the European wild rabbit, (Oryctolagus cuniculus). Those living in Europe/UK can interbreed domestic rabbits with wild rabbits because both species are O. Cuniculus genetically.
However, here in the US (North America), we do not have wild O. cuniculus. The North American lagomorphs (proper category for 'rabbit') include the eastern cottontail (Sylvilagus floridanus); the mountain cottontail (S. nuttalli) of mountainous regions of the west, the desert cottontail (S. auduboni) of arid regions of the southwest, the brush rabbit (S. bachmani) of Oregon and California, and the swamp and marsh rabbits (S. aquaticus and S. palustris, respectively) of wet habitats in the southeast and a few varieties of wild hares.
These wild North American species are not descendants of and are not genetically compatible with the European O. cuniculus and therefore cannot successfully interbreed.
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In summary:
In Europe, a wild rabbit CAN be successfully bred to a domestic rabbit because they are both O. Cuniculus (genetically).
In The US, wild rabbits are NOT O. Cuniculus therefore cannot interbreed with our domestic rabbits which are O. Cuniculus. They might attempt to mate, but pregnancy cannot result.
Lisa L.