Perchance have you a while ago endured a runny nose? Peradventure did you heal from the issue? Certainly you got over it! You can not cure a common cold itself, nevertheless your immune system normally establishes immunity to a particular cold virus within a few days. We call that being cured by your very own immune response!
Human papilloma virus is similar in that HPV virus is just one more viral infection. And you can most likely establish immunity to HPV. However, HPV virus is more adept at concealing from your body's immune system than are the rhinitis viruses. So you need to work a little harder to get immunity to HPV virus.