You mean building codes that would hike the price to levels immigrants can’t afford? You could of course build social housing like a developed country but good luck doing that while republicans hold any kind of power. And even if you manage to get that done the amount of housing you can build is limited by the amount of money you are willing to invest into social housing.
Sounds like you have no idea what you are talking about. No amount of supply will bring down raw material and labour costs.