yes they can..
Mites can be carried from many sources. Snake mites cannot feed on other animals. Cats, dogs, and people will not be affected by mites but they can absolutely carry them. Now is it very likely that your dog will give your snakes mites.. No. But if you have snakes with mites in one room, and snakes without mites in another and a dog traveling back and forth between the two room than it is possible that you can spread the mites. Again it's not very likely as I am assuming your snakes and other pets don't interact closely with each other but it's not impossible. We have snakes in quarantine in one room and other snakes in the living room. The cats are not allowed in the snake room at all.