@giggz, What's your current software version ? Latest update for S22 Ultra was One UI 5.1 in February.
Updates are sent out in batches dependent on region, phone model eligibility, serial and build number and if a phone has been supplied by a network they can sometimes have their own update schedule as they may want to test the update to ensure it does not clash with their network features and apps.
Samsung Smartswitch is an option but I appreciate you do nkt have a computer and this option does not guarantee an update.
Sometimes inserting another different network sim card can instigate an update.
You could see if a Samsung Service Centre can help.
Samsung _ How-to-update-latest-software-for-your-galaxy-mobile-device.
If I can be of any further help then please don't hesitate. Take care. 😎
Daily Driver > Samsung Galaxy s²³ Ultra 512Gb in Phantom Black.
The advice I offer is my own and does not represent Samsung’s position.
I'm here to help. " This is the way. "