Your idea is paranoid that a lab transmits hiv - you should consider how many million $ they would get sued for if they did that even once.
Seek therapy because your anxiety is irrational, and is based on the faulty idea that you know how a lab should operate but they don't.
Next time you get any blood work done, tell the nurse beforehand (instead of coming to a chat forum with such a silly idea) that you have an irrational fear of her giving you hiv - so she can show you that she is not spreading hiv when she tests your blood.