I think Vampirism counts as a disease. So, if you become a werewolf first, then I assume no, because you have 100% disease resistance as a werewolf. Not sure if you can be a vampire then become a werewolf, though.
Doesn't vampirism also have 100% resistance to disease?
So then, logically, the answer is : no.
Or is lycanthropy not a disease in this one?