Yes, you can use TransferChain on multiple devices.
Please visit https://app.transferchain.io/.
Once you have logged into your account, you should select the "Restore my cloud" option. On the subsequent page, you will need to provide your recovery phrases. You can either upload the PDF file or enter them manually.
After inputting the recovery phrases, your data will be automatically restored to the browser of your new device.
Note: If you couldn't find your recovery phrases, please refer to this article