If it is asking for a payment method then you have no option but to enter one such as a credit or debit card. Read the support article Add a payment method to your Apple ID - Apple Support about how to do that.
If you do not have a card, see if somebody is willing to add you as a member of their Family Sharing group ( Set up Family Sharing - Apple Support ). They will, however, ultimately be responsible for any purchases you make should you not have sufficient personal account balance to cover any charges. If you are not a full adult they may wish to use Approve what kids buy with Ask to Buy - Apple Support to restrict your purchasing ability until you have your own card and can leave the group.
Sometimes a card need only be presented once. If you are using your account for the first time:
Sign in with your Apple ID - Apple Support
- "When you sign in to the App Store and other media services for the first time, you might need to add a credit card or other payment information."
See if somebody is willing to enter their card to satisfy this requirement, then remove it immediately.
If it is insisting that a card be present then you will not be able to make that purchase. You may find that some items that are completely free do not require a card be present.