Yes, but then there are home tanks which are quite frankly, huge-normus. But yes, they can be put in a home aquarium. How small were you thinking?
My personal opinion is that octopus & squid, like seahorses, may be kept in the home, but require a lot more time and energy than most are willing to put forth.
Just a couple of warnings, before you get too excited, they will be escape artists, like eels (though I'm told these guys are even worse, and seem to do anything to spend a night on the floor.. mm.. lint!).
If it gets scared, it may release an ink cloud.. that's bad. You'll need to do a large water change just to keep it alive, unless your aquarium is as big as your house.
If you're willing to accept that, and put in all the work involved, then I say rock on. I'm told they can be taught tricks