Sure, but what size door do you have? And how big a fridge are you looking for?
There are plenty of modest sized residential fridges - you don't have to get a 21 cu ft model! Your RV fridge is probably only 6-12 cu ft, so an "apartment size" residential fridge is still an upgrade in both size and performance. You may have to search online for "apartment size refrigerator" to see the selection, since many appliance store websites do not show sizes under about 16 cu ft unless specifically asked.
Here, for example, is a selection available at Sears: http://www.sears.com/search=apartment%20size%20refrigerator
Besides width and height, the key decision factors are depth, door swing distance, and drawer pull-out distance (if applicable). With larger residential fridges you will need either a double (French) door type or a "counter depth (24") type. With fridges under about 15 cu ft, you can probably fit in a standard depth and single door. Surely a 10-12 cu ft model will both fit through your entry door and in the existing space. I was able to install a GE 14.4 cu ft top freezer model in mine.
You may have to remove a seat (or whatever) adjacent to the entry door to get room to bring the fridges out & in.
