*Maybe*. But only if the esper powers honestly followed from things we know we can do now - sensitivity to being watched, subconsciouses that pick up on details and jump to conclusions and let us know things we don't "know", etc. OR, if they involved mixing in genetic material derived from those other alien evolutionary tracks I mentioned - in which case they wouldn't be purely human.Would you be fine with human espers if the explanation given was them being genetically engineered?
I guess I am more forgiving towards telepathy and other mental powers because I am primarily a fantasy fan .
To me, personally, it is not so important if "this would work in the real word according to our scientific understanding" but rather "is it properly explained and consistent within the terms of the fictional universe" (which still doesn't apply to ST telepathy most of the time)
So where I completely agree with you and Christopher is that the biggest problem with telepathy in Star Trek is that it is never defined properly. Troi could sense things from as far away as a planet's orbit, which is simply ridiculous.
Finding a way to portray "psionic" abilities realistic would be a key. However with shoddy telepathy it is (to me) mute whether the user is human, alien or elf. Same with well defined psionic powers.
I like Christopher's suggestions of pheromones and infrared vision. I actually think the infrared vision was used for Troi in a manga I once riffled through at a Borders Bookstorel where on a planet she could warn the others of atmospheric changes just by squinting at the sky (without a tricorder).
Though he only way to give that to a human would be through in Star Trek would be through mechanical implants or grafts from aliens. Both of which would likely to be considered "off limits" in Star Trek.
And yes telepathy should not be at a workaround for translation, especially considering how chaotic minds are, a telepath would have to highly skilled to sort through the storm of pictures, emotions and "words" that make up our mind at any moment.
Of course one explanation that would allow Betazoid style telepathy which however would not work in Trek, is Tolkien's Elves and Ainur sometimes being able to directly communicate through each others souls, which does indeed do away with all the problems telepathy would face. However the way it was portrayed in the book this could still be interpreted as a communication via mental cues or pheromones rather than mind talk.
Another way might be to portray Borg hivemind would be as a sort of wireless network. This could also be made biological, but would require a very different brain than humans.