Thank you for your inquiry. From what we gather from the question, you were asking about acquiring HIV from drawing blood from a mosquito. From the information given, this scenario is determined to be No Risk (Transmission of HIV is not possible in the given scenario).
HIV transmission occurs when bodily fluids containing HIV comes into contact with an individual who is of HIV negative status via direct access to the bloodstream through a High Risk activity.
HIV is a human transmitted virus that is only passed via human to human. HIV is rendered inactive when it is exposed to the environment. Mosquitoes/other insects are not a vector(carrier) for HIV. Even if mosquitoes bite an HIV positive person and carry HIV positive blood within them, they do not serve as a source for HIV transmission as HIV can only be transmitted through humans during certain high risk activities that include: unprotected anal/vaginal sex, needle sharing, and breastfeeding. The activity you described would not be considered "needle sharing" as the needle from the mosquito does not hold the blood in the way that a medical needle does.
Recommendation: No need for HIV test with the scenario provided, refer to a healthcare professional for other health related questions.
AIDS Vancouver Helpline/Online, Vardah