I am talking about a Whampire with a Wizard level talent, would the Hunger also power the curse?
I don't think we know enough about the nature of the Hunger to tell.
If the Hunger is a spiritual symbiote that dies when the Whampire dies, probably yes.
If the Hunger is a Nevernever spirit that is linked to the mortal world by the Whampire but goes back to the Nevernever when the Whampire dies (in the way a Hexenwolf's rage-spirit or a Denarian's Fallen or the Winter Knight's Mantle don't die when the host dies), then probably not.
If the Hunger is more like a "void" or "emptiness" that the Whampire is drawing on, it might not have the right sort of energy to use this way.
EDIT: Messed up quote tag