Yes, you can register more than one device as an authentication method. You can start the process through your browser or through the Barion app, and then use any of these devices to log in to your Barion Wallet.

You can manage your authentication methods in your Barion Wallet online, in the Security menu:

In fact, having more than authentication method is recommended to be able to sign in even if you lose or damage the device you first authenticated with. When you log in online, you'll be prompted to choose which one of your multiple authenticators you'd like to use.