Thank you for your inquiry. From what we gather from the question, you were asking about the possibility of HIV transmission through a cut on your hand coming into contact with ice that could potentially have had another individual's bodily fluid (i.e., blood) on it. From the information given, this scenario is determined to be No Risk (transmission of HIV is not possible in the given scenario).
The scenario mentioned above does not meet the three components of the HIV Transmission Equation (see below). HIV (contained in a body fluid such as blood) is extremely sensitive to the outer environment. Exposure to oxygen in an environment outside of the body causes HIV to undergo a rapid reduction in concentration (1). From the CDC, HIV that may be contained in a bodily fluid (in this case being any blood that was on the ice), has a rapid (within several hours) reduction in concentration of 90-99% (1), rendering it inactive. Furthermore, this situation does not meet the requirements for the HIV Transmission Equation (see image below), as the graze on your finger would not have permitted sufficient access to your bloodstream through a High, Low, or Negligible Risk activity.
Therefore, in the event that the ice was contaminated with HIV positive bodily fluid, the exposure to oxygen, coupled with the fact that there was no direct access to the bloodstream, means that there is No Risk of transmission from this activity.
Recommendation: No need for an HIV test with the scenario provided, please refer to a healthcare professional for other health related questions.
AIDS Vancouver Helpline/Online, Shirley
If you are satisfied with the Helpline service, please consider donating.
(1) HIV Environmental Exposure