I’m going to go with ‘no’ on that one. English doesn’t exactly have strong legacy support for gender neutral forms, and gender-neutralized constructions seem to be in demand mostly where some sort of official or public purpose requires them.
(Plus, the ‘fanboy’ as a stereotype isn’t really gender neutral at all. He’s male. Not in a complimentary sense, since the term simultaneously invokes the atavistic aggression and impulse control of the football hooligan and the neutered postindustrial fecklessness that so bothered that guy from Fight Club who was/wasn’t Tyler Durden so much; but it doesn’t lack a gender neutral term just because of some historical linquistic quirk.)
(edit: on consideration, the analogy to the word ‘neckbeard’ strikes me. That’s a slightly more extreme stereotype; but similarly gender-linked. There might be a matching female equivalent; but a gender-neutral word wouldn’t be a synonym anymore.)