ChessKids and Chess.com not available on Amazon store for Fire Tablet

The main site app used to be available on the Fire tablet a few years ago, but I don't know why it wasn't maintained there. My guess it's not going to be added back if it isn't there now .
That said, since it is Android you may be able to run it if you get the app package on the device.

Here is a detailed howto I created of how I installed Chess.com on my Fire 7. https://www.chesstech.info/2019/11/how-i-installed-chesscom-on-amazon-fire.html