How's it going, _gannon_-
Certainly is a possibility, which was done in my college years when I was renting a duplex out. I built a platform that had "stadium seating" with the 2 12" L7's under the platform with the recliners that were on there. I know exactly what you're trying to do and you're absolutely capable of doing so. An invertor would be necessary to convert the 12v to 120v. These can be found online, but make sure you match the amps required, as most small invertors will not be able to handle the current load required to run those "amps" being pulled.
As far as putting in a subwoofer into a standard room you'll likely not get the sound quality you were hoping for. This is why I put the platform under the recliners so that it would have something to bounce off of instead of hitting the room walls to reverberate back. The platform acted as an additional enclosure so that it could get that rumble you're looking for.
With all this said, I'm not entirely sure it was cost effective to do this after everything was all said and done. Was it a fun project to keep me busy in college, sure, but most home theater setups are going to be much cheaper and not require as many work arounds and adapters required to make the car sound work in the home. If you're down for a project, do it up, if you're strapped for time then I'd recommend just purchasing a surround sound or soundbar with subwoofer from Best Buy online or in the store!
Best of luck!
