No, this would not result in HIV in any way. The only way you'd get HIV is if you have unprotected vaginal or anal penetrating sex or shared IV drug needles. Touching blood is not risk. Touching blood in hand sanitizer is not a risk. Air deactivates the virus. And the reality is, he didn't have his blood sucked into the hand sanitizer. I sincerely doubt he was just dripping blood. Which leaves me to wonder about your anxiety level and if this type of irrational thinking is common for you. If so, then it would be best to work with a therapist to overcome that.