Welcome to Android Central! Use a file manager app to look through the user-accessible directories on Internal Storage (and the SD card, if present). See if there's anything that looks like a save game file. If you can find one, you can try copying that over to the same directory on the new tablet. But if the game saves its progress in a protected system directory (where the app files are located), then it may not be possible. You could try a backup app like Helium, but I've heard that it hasn't been working correctly on more recent Android versions.