You could if you implemented the reddogblitz health care plan. Every year, the govt buys a BASIC health care plan for all Americans. If you get sick you can go to doc. If your kids fall off their bike and need stitches it'd be covered. A person could buy supplemental if they wished similar to Medicare Supplemental Insurance. It would be the biggest pool so it would bring down the premiums.
Would be great for businesses. They wouldn't have to proved Health Insurance for employees unless they just wanted to offer supplemental to attract candidates.
Everything is still private.