If you mean literally the future depicted by Star Trek, then, certainly not. It's not stated for sure, but I'd bet money on the activity directors on Risa [0]

If you mean literally the future depicted by Star Trek, then, certainly not. It's not stated for sure, but I'd bet money on the activity directors on Risa [0] not having PhDs or equivalent. But, if, by "Star Trek future," you just mean a post-scarcity future, then, maybe? There would be no reason everyone should need to be a PhD, but also no reason why everyone couldn't be [1]. --- [0]: https://memory-alpha.fandom.com/wiki/Risa https://memory-alpha.fandom.com/wiki/Risa [1]: Everyone with the intellectual capacity, that is. One certainly wouldn't expect severely developmentally delayed individuals to possess graduate-level knowledge of any subject. Gradeflation only goes so far. :-P