You can if your device is rooted:
Install the game normally from Google play and load your progress. Then install Lucky patcher and LSposed. Make sure Lucky patcher is enabled in LSposed. Then using xposed features in the Lucky patcher, disable signature verification and enable signature verification always true. Now you can install The signed apk on top of your original game downloaded from Google play and keep playing your progress.
And if your wondering, yes, I've done it myself for this game and many others.