The labor and material shortages are definitely complicating factors, but historically the biggest problem is that places with a lot of jobs tend to not permit much housing to be built in the first place, thus the recent labor and material problems are merely compounding a regulatory created deficit.
Edit: to riff on this more, in most of the world you can make decent bricks by baking the dirt underneath your feet (not quite that easy, but close). A lot of places also have ample quarryable stone. So if you had sufficient capital and a bit of know how to get it started, you could set up a new city with a largely local material supply. You’d have to import some labor, but labor shortages are more a function of regional wages than of there literally being no one around willing to work. The hardest part is the location, as you’d need to find a place that was close enough to vibrant economic centers to pull in jobs, but not within the regulatory ice bath of those same places. That’s a tough one, but there are some places that could work.