[frogjerk]

Yes, including for Hepatitis B, a blood or body fluid born virus not spread through causal contact, commonly spread through sex.

Hep B can be contracted in a non-sexual manner. HPV cannot.

[muawiyah]

You ever sat on those seats on the NYC subway?

[thackney]

HPV cannot.

Some strains can.

...many infectious agents, including viruses, bacteria, and parasites, can be transmitted through blood transfusion. Well-recognized viruses include hepatitis A virus (HAV), hepatitis B virus (HBV), hepatitis C virus (HCV), hepatitis D virus (HDV), hepatitis G virus/GB-C virus (HGV/GBV-C), human immunodeficiency virus types 1 and 2 (HIV-1/2), human T-cell lymphotropic virus types I and II (HTLV-I/II), cytomegalovirus (CMV), Epstein-Barr virus (EBV), TT virus (TTV), human herpesvirus type 6 (HHV-6), SEN virus (SEN-V), and human parvovirus (HPV-B19).

http://www.phac-aspc.gc.ca/hcai-iamss/tti-it/risks-eng.php

[thackney]

See also:

Could Human Papillomaviruses Be Spread through Blood?
Could Human Papillomaviruses Be Spread through Blood?

Our data suggest that PBMCs {peripheral blood mononuclear cells} may be HPV carriers and might spread the virus through blood.