If you want to export your Status Wallet accounts and use some other wallet app, you'll need your recovery phrase. As long as you have your recovery phrase, you can import it into any wallet app that supports the 12-word format.
In Status, you can only view your recovery phrase once. After you back up your recovery phrase, there's no way to view it again in your Status app. For security reasons, your recovery phrase is permanently deleted from your device. If you lost your backup, check out If you lose your Status password or recovery phrase.