No you cannot, unless you have been paying into the system for 10 years. If you have, then you probably have a green card by then. If not, you should get one anyway since you've spent a decade of your life in the country that your pretty much american by that point. Legally and paying a lot of taxes.

You would never get medicare treatment as only an H1-B worker, since if your unemployed, you cannot stay in the country long enough to be able to use medicare benefits much.

So you effectively pay at %12 tax on your income that you will never see the benefits of unless you immigrate.