Yes! If you have a Google account and haven't already registered this email within the app, you can register for Handouts via the Google Account Login (underneath the large green 'Login' button).
Once you've completed registration via Google Account Login, you can log in in the future using your Google account details. This means that if you are signed into your Google account on your tablet, tapping on the Google Account Login will take you straight through to your Handouts account without asking you to enter your account details.
Don't forget! if you already used your Google email address to register for Handouts via the normal registration process, you won't be able to use the same email address to create another Handouts account via Google Account Login. You can either contact us to request that your Handouts account be deleted so that you can re-register via Google Account Login, or create a new Gmail account when prompted.