why cant i get my contacts to transfer from my iphone 11 to my iphone 13?

Because contacts sync to email accounts; where the master copy resides, not on the phone which just replicate what is on the email server. If you add the same email account(s) on the iPhone 13 that you had on the iPhone 11 the contacts should load from the email account. Also, in the Contacts app, tap Groups and make sure all groups are checked.

Unlike some Android devices, contacts are neither stored locally on an iPhone nor in SIM. They are synced to an email account that you had Google, iCloud, AOL, Exchange, Outlook, Yahoo or any Other

If Contacts were on iCloud, try this --> Restore contacts, calendars, bookmarks, and more using ...

Else Add the email account that stores your contacts in the IOS mail app and enable Contacts.If you have a corporate email account added through a profile on your device, please check with your organisation's system administrator.