No. You can eat and drink calmly. HIV is transmitted sexually through unprotected sex, when using hard drugs with repeated use of syringes, it is not known whose and is still transmitted vertically from an HIV-positive mother to a child, but under the supervision of a doctor the latter rare.
Fortunately or sad - no, it's up to you. HIV is transmitted if you have been injected intravenously with the blood of an HIV-infected person, which most likely will not happen .. Spoons, permanent items, all are safe to use.
There was no blood on the finger and syringe.