Yes. You can use the Transfer Save Files feature to transfer save data between devices.
Please note that while you can transfer your save data between different operating systems and Apple/Google accounts, DLC purchase information will be lost and the relevant content will not be reflected after the data transfer.
Preparing for Data Transfer
First, have the device you want to transfer data from and the one you will be transferring to.
Then make sure that you have a stable internet connection.
Transferring Data
1. Open Pokémon Friends on the device you will be transferring from.
2. Use the gear button at the top right of the screen, and then choose Transfer Save Files.
3. Choose Enter Transfer Mode.
4. Read the warning carefully before choosing Transfer.
5. A Transfer ID and a Transfer Code will be generated.
6. On the device you will be transferring to, start Pokémon Friends, then use the Settings button. Choose Transfer Save Files, then choose Import Save Files and input the Transfer ID and Transfer Code from Step 5.
7. Players who purchased DLC can restore their content by using the Shop button on the top left of the Pokémon Friends home screen.
After transferring your save data to a new device, that data will no longer work on your old device.
Please make sure you have a stable internet connection before attempting to transfer your data.