Yes! Points achieved up to the point you select (from within the Game Page) to replay the very same game will be counted on the calendar and a gold/silver star will be awarded. The score of the replayed game, however, will not be recorded. 

Notice that replaying the very same game is different from replaying a calendar date, which does allow you to improve your score by playing for the same date a different game.

To replay the very same game follow these steps:

1. Tap on ‘menu’ at the upper right-hand corner during a game
2. A bar will appear at the bottom of the screen
3. Choose ‘replay’ if you want to restart the same game

- OR -  

1. Tap on ‘menu’ at the upper right-hand corner after a game has been completed
2. At the bottom of the screen a bar will appear
3. Choose ‘replay’ if you want to restart the same game