Yes. In fact, there are a couple of breeds who are much more likely to suffer from skin cancer, purely because of their thinner fur and greater exposure of skin to the harmful rays. Breeds such as the Weimaraner and Boxer are both more likely to suffer from tumors and, while other breeds are not as prone to this illness, it does not mean you should not take precautions.
This is especially the case with cancers caused by sun exposure, as it can be difficult to spot any melanomas (areas of heavily pigmented skin) due to the fur on your dog. Oftentimes, it is often too late to treat skin cancer on dogs, as this major symptom can easily be missed.