Yes. Though I've had disagreements with people here before on the topic. I recall someone listing a whole series of incidents where it is clear that a Trek character was in a sexual relationship as proof that Trek was sexy. Completely missing the point, knowing that sex takes place does not a sexy series make.
And that's why we need a little more realism and a little more fun in NuTrek. It doesn't have to go too far. I think a lot of Trek is just step up from Tolkien in sexiness, as in very much not so.