Is it possible to accidentally spread my genital herpes to my mouth or any other part of my body?

Very unlikely, ...: The odd of auto-inoculation of herpes is almost impossible unless there is a local breakdown of natural barriers like skin or mucosa by scratch & abrasion induced by whatever the act may be. Keeping this in mind will minimize such undesirable extremely rare occurrence. Of course, if any doubt, seek timely attention and counseling for better living down the road.