I've had snappers in my tanks before as well as a striper, black fish, sea bass, tog, fluke, sea robins, jack crevalles, bur fish and some other random native species that I've got in my throw net.. Bluefish are fun but the most aggressive are stripers and jacks.. You can keep a bluefish in a tank no probably as long as your running the adequate equipment such as a large protein skimmer (not a cheap one either, it needs to actually work), large sump filled with bio media and you are up on your weekly water changes.
Blues don't grow as fast as you think even if they are fed twice a day. Minimum thank in my opinion is 125-180, and as they get bigger you will need to give them a bigger tank or bring them to an aquarium.. Remember they will die if released back into the wild.