According to this brief Scientific American article, about three years ago, a German research team cured a man of HIV. They used bone marrow from an unidentified individual that was naturally HIV resistant. These results may cause researchers to turn to genetic modification in order to make people HIV resistant.
HIV makes use of a particular protein called CCR5, which is found on the surface of some immune cells, to infect those cells.
Some people have inherited a specific mutation that disables their copies of the CCR5 protein, thus offering them greater protection against infection with HIV.
Investigators are trying gene-editing techniques to modify immune cells so that they lack the CCR5 protein, making them resistant to HIV as well.
Preliminary results from safety studies of the gene-editing approach in humans are encouraging, but there is still a long way to go.