Can a purebred Burmilla have tortoiseshell coat?

No, purebred Burmillas cannot have a tortoiseshell coat. Tortoiseshell coloration, while being relatively common in some other cat breeds, is not a recognized color in the Burmilla breed standard. Burmillas are known for their distinctive coat pattern, which is characterized by a combination of tipped and shaded hairs, resulting in a silvery sheen and a range of beautiful colors, including chocolate, lilac, blue, and cream.