Is it possible to fully conquer this phobia?

I've spent years of my life in terror of vomit. And for what? I'm doing all I can to wrangle this anxiety, but I have to ask: Is it possible to just... be rid of this fear entirely? As in, is it reasonable to expect that after working on this phobia/taking medication/seeing a therapist for a significant period of time, one would eventually be able to be nauseous and vomit without fear?

I apologize if this counts as reassurance seeking or this is breaking an unwritten reddit rule. I read the sub rules, but I am new and don't know what I'm doing. Thank you for reading. :)