Yes, it is possible to play with multiple accounts from a single device.
To do so, you must have both of your accounts synchronized via the networks available in the game.
To sync your account, press Lord avatar → Settings → Sync Account → Sync Account button in the bottom left corner → choose your preferred way of synchronization (Google Play Center, Google, Facebook or AppleID).
More details on synchronization in this article.
If the process was successful, you will see the "Sync Complete" sign under the respective network.
Once you have done so and your game data is securely saved, you can start a totally new game by pressing the Game Reset button in the same menu screen, or login to another existing and saved account via the Switch Account button.
*There are cases when Google login fails due to the fact that you are signed in into another Google account in your device default browser.