An installed eSIM cannot normally be moved directly between devices.
Some eligible legacy eSIMs show a paid self-service replacement option in the BambooSIM portal. Creating a replacement immediately terminates the old eSIM and plan, then reassigns the remaining eligible data plan to the new eSIM on a pro-rata basis.
Make sure the new device is unlocked and eSIM-compatible, and that you have unrestricted internet before creating the replacement and installing it.
Other eSIM products cannot be automatically replaced or transferred. Do not delete the eSIM from the old device until you have confirmed what options are available.
See How do I purchase a replacement eSIM? or submit a ticket for help.