I don't think objecting to random touch is an Aspie thing. I am extremely, extremely huggy - but only with about ten people, including immediate family. Other than that, a handshake is about the most I'm comfortable with. And, to the best of my knowledge, I'm NT.
It can be such an intimate thing, I've never understood why it seems to be expected that everyone will be fine with hugging near-strangers. I'd rather just hug the ones I am attached to, and have it actually mean something. I have trained a number of my friends not to hug me, even though they hug most people. Unless I love and trust people enough that they might as well be family, I don't hug them. It's like a multi-directional invasion of privacy, otherwise.