Yes but they would need a functional healthcare system first.
I struggle with this. Outcomes for our healthcare system are much better than critics want to accept. Most of the negative health outcomes in the United States are mostly about our built environment - people who aren't very poor and live in walkable urban centers in the US have health outcomes similar to Europe. Those reading this website in the US often have outcomes that exceed their peers in Europe - we have much better cancer treatment, for instance. US city air quality is starting to beat European cities because we don't use nearly as much natural gas (NYC is better than Berlin, for instance, at pm2.5).
Most negative US health outcome factors can be traced to suburbanization, which is also where the vast majority of the gun violence is, and systemic racial wealth disparity. We have a pretty good healthcare system, we just need to subsidize it for people who can't afford it.
In the US, quality of health care is not really a problem. The problem is that the cost is too high, and also availability (in part because of the cost).