Comment by ratelimitsteve

https://www.webmd.com/hiv-aids/hiv-remission

There is at least one documented case of someone using anti-retroviral therapy, getting their viral load down to undetectable, stopping the therapy and remaining undetectable for years without continued therapy. They use the word "remission" rather than "cure" because there are fragments of viral dna that remain in your cells and it's possible for a "reservoir" of inactive virus to exist and activate, so there will always be regular testing involved in any attempt to eliminate the virus entirely, but whether it technically counts as "cured" becomes a nearly-moot point when one is able to live the same way that someone who has never been exposed lives save for the testing.