My dating experience is too limited to answer this question in quite that respect, but in other situations--friends, family--sure I have. (And I would with a date, too.) Bowling, playing cards, a movie/music/sport I wasn't crazy about, food... (though I have allergies, so things can get more difficult there!). But in these cases I'm there for the company and, in good company, can enjoy myself, and help others enjoy themselves, almost no matter what the activity is.

I might, just might, later say that I don't enjoy thus-and-such but that I had fun anyway and was grateful to be included, because it's true.