With enough power it ought to be possible. But the problem would be finding enough power in a way that isn't lethal to the human host. (There's a WOJ that Mab could remove the demon from Thomas, but it would basically destroy him since Mab isn't that gentle.)
I don't think that the problem is that Mab isn't gentle, so much as that there's no sharp dividing line where Thomas Raith, human being, stops, and the Hunger begins, they blende into each other and are sort of one thing. If Mab rips out the Hunger, she would take a lot of Thomas with it because they are merged. Trying to be gentle, I suspect, would just produce the same results more slowly.
I think you might compare it to the way a grafted plant merges, only the graft line is all over the plant.
Before that first feeding, I think the two are mostly separate, at that point Mab could probably rip the Hunger out with a minimum of harm. After that first feeding, I think things are different.