I have reoccurring/occasional staph cysts that form in my groin area and are treated with antibiotics. Would a vasectomy be a safe procedure?

Safe If NO Infection. Any skin incision for surgery can be compromised by nearby active skin infection. If you are not having any cysts/carbuncles then there's no problem. However, any untreated pus containing cyst would increase the risk of an intrascrotal infection, something you do not want. More importantly: why are you having these recurrent infections? Perhaps an infectious disease md could help.