Yes.

“The route of HPV transmission is primarily through skin-to-skin or skin-to-mucosa contact. Sexual transmission is the most documented, but there have been studies suggesting non-sexual courses.

The horizontal transfer of HPV includes fomites, fingers, and mouth, skin contact (other than sexual). Self-inoculation is described in studies as a potential HPV transmission route, as it was certified in female virgins, and in children with genital warts (low-risk HPV) without a personal history of sexual abuse. Vertical transmission from mother to child is another HPV transfer course” [1].

[1] https://pmc.ncbi.nlm.nih.gov/articles/PMC7579832/

Right, but do the vaccines help against the strains of HPV that are transmitted via non-sexual contact? The vaccine being 9-valent implies (to me, a layman) that strains need to be targeted fairly specifically in order for vaccination to be effective.