Assuming yours is one of the ones that actually operates on 12v as well as propane/120 volt, the answer is yes to both questions. Do be aware that it will obviously be best run on propane when boon docking, but in your driveway, with shore power, should be no problem.
For what it is worth, the 12v option is best used for "while traveling" to keep things cool without turning on the propane. Do also be aware that absorption refrigerators cool down slowly, with 12v probably being the slowest option. I'd turn it on, and ignore it for 24 hours before bothering to check it. Into the bargain, when you load it up to go on a camping trip, best to give it that day's cool down, and then pre-cool everything in the household refer so the camper doesn't have to do ALL the work. When they are working as designed, the do a great job keeping things cold, but cooling down, not so much.