Yes, you can register more than one device as an authentication method, and then use any of these devices to sign in to your Barion Wallet.

Manage your authentication methods in your Barion Wallet online, on the Security screen.

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 of your multiple authenticators you'd like to use.