Yes. Most Americans become eligible for Medicare when they turn 65, and no longer need individual-market coverage. But recent immigrants are not eligible to buy into the Medicare program until they’ve been lawfully present in the U.S. for five years.
Prior to 2014, this presented a conundrum for elderly immigrants, since individual market health insurance generally wasn’t available to anyone over the age of 64. But now that the ACA has been implemented, policies in the individual market are available on a guaranteed-issue basis, regardless of age. And if the plan is purchased in the exchange, subsidies are available based on income, just as they are for younger enrollees. (It’s unlawful to sell an individual market plan to anyone who has Medicare, but recent immigrants cannot enroll in Medicare).