Can kittens/cats get mange like dogs. Like they lose hair and get kind of scaly skin?

Yes, they do but the mites are of a different form.
In dogs, the mites are known as Demodex canis. In cats, they are called Demodex cati.

Demodex cati is a mite that can infect cats of all ages or breed. It appears to occur in a higher frequency in Burmese and Siamese cats. There are two main forms of the disease, localized and generalized. The localized form is the more common, with symptoms of hair loss with scaly skin on the eyelids, head, ears, and neck of the cat. The lesions may itch and be red and irritated. The generalized form of the disease has similar lesions, but may also affect the body and legs.