It's possible to move old data, including game progress, to a new device using the following methods.
Quick Start allows you to transfer data between two devices by putting one near the other. Find out more here: https://support.apple.com/en-us/HT210216
You can also move your old data with iCloud Backup:
- How to make a backup on your old device: https://support.apple.com/en-us/HT211228
- How to restore data from a backup on your new device: https://support.apple.com/en-us/HT204184