Is it possible to become a vampire because you consume vampire dust

You cannot become a vampire while you are a werewolf because werewolves are immune to all diseases, so you cannot contract Sanguinare Vampiris

If you cure your werewolf issue, then you can contract the disease simply by allowing a vampire to do damage to you until you receive it.

Afterwards, idling for 72 hours will turn you into a full fledged vampire.

I'm going to quote from the UESP:

There are many ways to contract the disease, all of them involve encountering hostile vampires and letting them attack you. However, rather than let them hit you in melee, you should keep your distance and only allow them to cast their draining spell as this is the only attack that can impart the disease. To speed up contraction, repeatedly lose and gain sight of the target vampire so the spell is cast multiple times. The check for giving you the disease is passed only when the draining spell hits you, not over sustained action.

So the trick is to fight Vampires and force them to use their Vampiric Drain spell on you. Exploit Line of Sight for maximum casts.