Yes. There are two ways you can accomplish that:
 

1. When you create a game or invite another player you can save the game settings in a template, then open the template for a new-game or invitation.
    
   
2. On the game-info page for a game you find two links:
   
   • Rematch : This opens a new invitation with the same game-settings as the game was started with.
     
   • Copy as new game : This opens a new game-offer for the waiting-room with the same game-settings as the game was started with.
     
   
   On games started before Jun-2012 the original game-settings were not stored and so defaults are used for some of the game-settings.
   

Important Note:
It does not matter how the game was started or saved as template (invitation, new-game offer). The game-settings are adjusted accordingly for the operation (use saved template, rematch or copy new game).