Can mosquitoes transmit HIV?

No. Numerous studies have shown no evidence of HIV transmission through mosquitoes. These studies showed that transmission via mosquitoes is not possible because:
Mosquitoes do not ingest enough HIV–infected blood to transmit HIV to another person. The small amount of the virus ingested by mosquitoes is not substantial enough to cause HIV infection in another person.
Mosquitoes digest HIV. The virus cannot survive inside the insect and it cannot be passed on to the mosquito's next host.
Mosquitoes are not flying hypodermic needles. A mosquito's complex feeding apparatus does not involve any exchange of blood between the mosquito and host.