Yes — on Google Play
Fortnite has a Google Play listing.
App Store
On Google Play
Is Fortnite on Android?
About Fortnite
Play and battle with friends in Fortnite. Be the last player standing in Battle Royale, Zero Build, Blitz and OG, carry your squad to victory in fast-paced Reload, build your own adventures in LEGO® Fortnite, or headline a concert in Fortnite Festival — it's all here. Play thousands of free developer-made islands …