Fingered a girl with genital herpes 2 months ago. Washed hands for 5 min right after. Noticed cold sore on lip but do have hsv1. Is it possibly hsv2?

Hard to say. Hsv 1 is more often linked to cold sores at the lip margins while hsv 2 is most often linked with genital lesions. However, both strains are occasionally found at either location. Whether or not this has anything to do with the exposure you cite is hard to say.