No, but they do serve chicken, beef, pork etc at the same zoos where they show chickens, cows, pigs.
And, in the same way, the aquariums I've been to don't serve EVERYTHING in the exhibits: no shark (usually), no manta rays, and, despite my pleading, no penguin-ka-bob.
And, on a serious note, I think one of the strongest arguments FOR protection and preservation of various species is that if they go extinct, we'll never again be able to enjoy the taste sensation they provide. If spotted owls tasted better than turkey in gravy, we'd have farms of them all over the place.
And what do they serve to the sharks at this aquarium?