No doubt you will most likely get another cold virus, because there exist several hundred various runny nose infections. But you will certainly unlikely get the exact same runny nose virus that you had before due to the fact that you have created resistance to that particular virus.

HPV virus is comparable because human papilloma virus is just another viral infection. Therefore you could most likely develop immunity to human papilloma virus. However, HPV virus is more capable at concealing from your immune system compared to the common cold viruses. So you must work harder to obtain immunity to human papilloma virus.
https://zenwriting.net/amulosbzbl/how-can-i-cure-hpv-naturally-is-a-fundamental-question-simply-because-it-is