Not if you have it genitally. Herpes is only infectious from the location that you have it. If you have genital hsv2, you are only infectious from the genitals.
Oral hsv2 is rare, and even for those who have oral hsv2, it rarely sheds, rarely recurs, and means that it rarely transmits.
You should read the Herpes Handbook at https://westoverheights.com/herpes/the-updated-herpes-handbook/ It's free, and written by one of the world's leading herpes experts.