I'd like to recommend creating a account so me or other members can assist you, as guest have limitations in replying here and if we need further Information to communicate with you.
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.