Epic Games has confirmed it will bring its storefront to Android and iOS later this year. Its Android release should be global while its iOS version will likely be restricted to the EU. https://www.notebookcheck.net/Epic-Games-Store-to-arrive-on-Android-and-iOS-later-this-year.815568.0.html
It's already on Android, it's just not on play store, you need to side load the APK.