That hasn't yet happened on Android. While it might happen on iOS, it's not reasonable to assume that it will happen.
https://www.fortnite.com/mobile/android/new-device?lang=en-U...
Why? Because historically, iOS has been the more profitable platform for mobile developers by a large margin. The payoff for building and maintaining an alternative app store for Android only is questionable, but improves significantly if the store can exist on iOS too.