Can you pop your cherry with a tampon?

You don't have a cherry and nothing 'pops'.

You may have a hymen, this is tissue that surrounds the opening to the vagina - in most cases this doesn't cover much of the vaginal opening and the hymen is flexible so will stretch to accommodate tampons or even larger things such as a penis during sex. The hymen can be torn as a result of inserting things vaginally but most commonly this will only occur if you use force or if you're rough.