Yes, there are people who are resistant to HIV infection, but how is this even possible?
Well, the answer lies in a mutation on the CCR5 gene known as CCR5-delta 32. This gene codes for a receptor that HIV needs to bind to in order to enter immune cells. Essentially this receptor serves as the entry point for HIV into cells. These individuals however have a mutation that affects this receptor, making the virus unable to penetrate their immune cells.
Less than 1% of the global population have this mutation while 10-15% of people with European heritage have one copy of the gene. People who have only one copy of the gene don't have resistance to the infection. However the gene can reduce carrier's chances of infection and delays the progress of AIDS.