A stereotypical bully victim does exist, whether or not the stereotype is right or wrong isn't really relevant, that's sort of the point of a stereotype.
I think there's a distinction I've made in my own head of what bullying is... I don't see isolated incidents of verbal or physical abuse as bullying, for some reason the world "bullying" just conjures up images of a long and protracted affair of constant harassment. I'm not actually sure of the dictionary definition of bullying but thats my own thought on it, as wrong or right as it may be.