No
Today, after over 3 decades of the discovery of the virus, a very comprehensive information
database is available on transmission.
HIV can no longer remain infectious outside its host, no matter be it a mosquito's mouth.
The only exception where HIV can survive for a few weeks is syringe, where survival is possible only due to the vacuum and absence of ambient oxygen. Other than that, the virus gets inactivated instantly the moment it leaves its host's body.