Yeah, but the big question is why. A healthy rabbit will not soil itself like that: typically only rabbits kept in tiny cages, senior rabbits, rabbits with severe GI upset, and obese rabbits cannot groom themselves and "need" baths.
We are as gods to the beasts of the fields. We order the time o' their birth and the time o' their death. Between times, we ha' a duty. - Terry Pratchett.
"Men have forgotten this truth", said the fox, "But you must not forget it. You become responsible, forever, for what you have tamed. - Antoine de Saint-Exupéry