Can I get vaccinated?

I'm 68 yrs old with some health problems that make travelling home to America dangerous for me.  But I'm, afraid to not be vaccinated.  It looks like private shots won't arrive until October, and the government websites won't register anyone without a "pink card" or taxpayer ID#.  Is it possible for me to get this 'pink card' and if I do get it, can I then register for the vaccine?  

I'll have to find someone willing to put me on their tabien bahn, right?

Thanks