I've only met her once, but one of my trainers at the apprenticeship I'm starting tomorrow is a trans woman. It's not the same, as there's people there from 17 to maybe one or two in their 30s, and in the UK which seems to be more accepting than in religious parts of the states, but it's a teaching role nonetheless.
Anyway, she passes, not enough to stop me scrutinising her because I thought there might have been a chance she was trans, but enough for me not to find anything during my scrutinising that would make me think that I wasn't just being crazy. I'd dismissed it as me being a lunatic, and then she told us that she was trans. There was a crowd of people, both parents, partners and apprentices, and there wasn't a murmur. She said that it had been one of the hardest things she'd ever done in her life, and that it worried her she wouldn't be able to carry on doing her job, but that all of her students in previous years had been brilliant about it.
It's not impossible, although high-school is probably one of the harder ages to teach. I considered teaching high-school history for a long while, but I don't particularly like kids, and although I'm enthusiastic about the subject and teach anyone who brings a topic I know about up, there were to many uncertainties about going down that route. Being trans wasn't one of them though, simply because I'm fairly sure I could be stealth by that point. I don't think that anyone would notice enough to question you about it, especially not to your face, unless there was already a rumour going around that there was a trans teacher/you were trans.
Being open about it is more difficult, especially if there are likely to be problems with the parents, and you've not already built up a good track record which can override that. And that age range is probably the hardest time to be unusual.