Sure we could have government healthcare like other countries but we are a pretty big damn country.
Providing 300 plus million people with health care is a monumental task. That I wouldn't recommend.
Oh the US could do the whole "universal healthcare" thing, the results would destroy most of Europe and Canada though.
US Military budget is $648 bn USD (yes billion), as a percentage of GDP it's around 3.1%.
Germany's Military budget is $49 bn USD, as a percentage of GDP it's 1.2%.
UK's Military budget is also $49 bn USD, around 2% of it's GDP.
France's Military budget is $42 bn USD, around 2.4% of it's GDP.
We should be seeing a trend here, the US spends far more then it's allies on it's Military budget even though it's far less likely to be directly invaded by another hostile power. The US military could easily slash it's budget to 1/3rd or less while simultaneously closing all overseas bases, recalling all troops and focusing purely on defending the borders. This means no NATO support, no UN support, absolutely zero commitment to the defense of nations not the USA.
This would save the US tax payer a ***ton of money, money that could be reinvested into social programs like some form of basic health care. This would also leave those other countries at the mercy of China and Russia. See for decades the European nations have used the US's global military presence as an excuse to slash their own militaries to nothing more then parade forces. This saved them lots of money they used to buy national socialist votes.
Now healthcare is it's own complicated beast, the vast majority of the worlds medical research is done in the USA. This is because the USA provides a 10 year patent for medical research that can be extended. In contrast other nations provide practically zero protection. Canada only allows for two years, Mexio has zero and most of Europe also has zero patent protection for non-domestically research medication. This means if pfizer creates a new drug treatment, Canada will only give them two years of protection, and the rest of the world not a single day. Within a year a generic version is available from France, Spain or Germany, and due to the UK open trade those versions are then exported to the rest of the EU.
Thus the US consumer is subsidizing the cost of medical research for the rest of the world. Pharmaceutical companies are generally limited to the US market to recoup R&D costs while making a profit.
Now the USA can follow Europe's lead and provide zero patent protection for medical research. Pfizer produces that medication it can immediately be made available from generic off-brands. This means Pfizer will never recoup costs for any medical research and stops spending the billions of USD required to make new medication. Europe no longer has a supply of cheap medical research to copy from, and everyone's left with government funded research as the only source of medical innovations.