Yes, but this requires that you setup email / password for your account and use that from all the devices that should login to your account.
Note: If you just tap continue on the last intro page instead of tapping Have an account? you’re not logging into your account using email /password. What actually happens behind the scenes is that you login using the so-called device id associated with the device. When you login using your device id, you will log out any other devices using email / password credentials. If you happened to do this by mistake, you can always logout from Settings, choose to reset your password on the Login screen – and then login using email/password.