Yes, you can. When you set up your new reMarkable, make sure you follow the instructions at My reMarkable, to ensure that all your files are transferred from the old device.
How to transfer your files from reMarkable 1 to reMarkable 2
Can I use my reMarkable 1 account on reMarkable 2?
Yes, you can sign in with your existing account on your reMarkable 2. Follow the instructions at My reMarkable to sign into your account.