Yes. I bought a little Craftsman work bench from Sears, couldn't have been much more than 2'x3'. I had my press, powder feeder with stand, and case trimmer all bolted to it with enough room to spare for my scale and a little bit of working space. Hell I even bolted a barrel vise to it a few times and headspaced a couple of barrels. Worked like a charm for having limited room. It gets pretty cluttered if you don't have a little storage cabinet or something next to it, but I've done everything in an apartment that I now do in a workshop... for better or worse.

You can kinda make out the table in the background in this picture. Don't mind the clutter, but it should give you an idea of how much space it took up. I'll have to look on my old phone when I get home if to see if I have any more pictures of that setup. But the short answer is yes, apartment living really shouldn't pose much of a problem for basic reloading.