Aren't there a growing number of doctors who don't take insurance (under names like "cash-only" or "direct primary care")? Would you be able to buy a day of on

Aren't there a growing number of doctors who don't take insurance (under names like "cash-only" or "direct primary care")? Would you be able to buy a day of one of those doctors' time? It sounds like it won't run afoul of insurance but also sounds cheaper than having a personal physician.