Is there a chance of getting HIV/AIDS virus from FUE punch or other tools?

There is a risk of getting HIV or hepatitis with any surgery if sterile instruments are NOT used.  In an ideal world all medical practices should be using precautions to protect their patients and staff.

With proper sanitation practices there is essentially zero risk of you contracting any sort of infection from the surgical tools used for an FUE procedure. Whether or not its done is Turkey is irrelevant as long as the staff properly cleans/disposes of used instruments. 

If your surgeon uses disposable instruments and does not reuse them, or sterilizes those instrument that are made for sterilization like stainless steel surgical instruments, then there is no risk of any spread of infection or any disease; however, some doctor reuse disposable instruments and by doing so, they produce potential risks for their patients.