Absolutely. 15 years ago, I remember seeing one of those huge and ugly condo blocks that SoCal is so infamous for built across from a large mall - I figured that the step from there to full-fledged arcology was a very small one.

I suspect that describing an arcology as a huge mall that you live in both provides an excellent description of what it would actually be like, as well as a way to determine who would actually wish to live in such a thing.