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Just to be didatic, ticks aren't insects, too many legs.
Well, one thing is quantity of sample, and another is time spent out of the body.
Insects which draw blood tend not to go and bite another person for a while. HIV is quite fragile. The amount of blood that a biting insect carries with it is generally well below the amount which would allow HIV to survive a significant length of time.
Needles tend to both hold more blood than most of the insects (aside from ticks...which don't bite multiple people within a short period of time); don't digest the contents; and have a region protected from light that can form a region protected from things that would deactivate the virus; and unfortunately tend to be reused for injections pretty soon after contamination.
I suspect that it IS possible to convey via insect bite, but it clearly isn't very likely.
Just to be didatic, ticks aren't insects, too many legs.