I have heard that hpv generally clears itself in two years. If I have it past the two year mark does that mean I have no chance of clearing it at all?

Clear vs cure. The visually evident features of some HPV strains, like those that cause warts, can be burned/frozen or laser treated.They may also spontaneously clear within a few years if you have a normal immune system. The primary infection of non wart strains will also seem to clear, but all can go into hibernation and re-appear over your lifetime.