I have hpv 16 does it ever go away ?

Sometimes: There is no specific treatment but some infections spontaneously go away. But don't rely on this. Instead get PAP smears every year as 16 and 18 have a high risk for cervical cancer. And keep yourself healthy with good habits.

Yes and no: HPV DNA may persist in tissues indefinitely, perhaps for life. It isn't known how often. More important, the large majority of HPV infections are cleared by the immune system, cannot be detected, and cause no future health problems. For practical purposes they are cured, even if DNA persists. Probably 20% of all humans have had HPV 16, and most never have any health problem from it. Don't worry!