Can HIV get transmitted through mosquito bites?

No, it has never been reported that HIV got spread through mosquito bites.  White blood cells and HIV are destroyed in the highly acidic environment of the mosquito's stomach. Mosquitoes do inject their saliva into their victims. Malaria is carried in the saliva and spreads in this way. Thankfully, HIV cannot get spread in this way, as HIV cannot exist in mosquito's saliva.