This totally depends, if you developing both app then yes. Storing the scores in the keychain can make it accessible to both app.
If you are you are not the developer of both apps then probably no, unless you have access to some kind of API that could tell you the score. Since you can not access data from other app the developers of the other should provide an API to allow you access the score. This can be web based of even using an App URL Scheme.