Would it be safe to have a lip augmentation using fat grating if your lips have had herpes?

Yes but premedicate. Yes but you should premedicate with peri operative retro viral therapy.
Lip aug & herpes. It should be fine to have lip augmentation if you have a history of herpes breakouts in your lip area. Premedication with an antiviral like Valtrex (valacyclovir) or Acyclovir should prevent or limit the occurrence of lesions in the period surrounding your lip treatment.