I will say it depends on the game... I say that because I've only found one game that keeps your progress after a reset or from device to device if you move the SD. That game is Cut the rope. Typically No you cannot simply move a file and have all of your achievements and progress. You might think other devs or Google would fix this, because the only way to not loose everything is to root your device and begin backing up afterwards. Prior to that you loose everything to root but afterwards you can restore everything, even your email accounts, without setting them all up again or loosing any data. I mean there's no harm in trying, it might work out for you on a couple of them.