Some veterinarians say, "no," and others say, "yes." Cats have natural oils that keep them very well groomed. However, I have always bathed my cats several times a year. I brush them really well first, and use only a veterinarian-recommended shampoo. I towel dry them well, then brush them again. They get used to it... look like drowned rats, but I think it does feel good. Consider the great cats in the wild... all of them swim...
My answer would be no
Yes, you do because my cat had a lot of hair together and when I washed it it was all good!!! So yes you do!!!