Yes — on Google Play
PlayStation App has a Google Play listing.
App Store
On Google Play
Is PlayStation App on Android?
About PlayStation App
Connect. Discover. Control. Stay connected to your gaming friends and the games you love to play, wherever you go with PlayStation App. See who's online, voice chat and send messages, and discover deals on PS Store. Connect with friends • See who's online and what games they're playing. • Voice chat and send mes…
PlayStation App is listed on both the App Store and Google Play from PlayStation Mobile Inc., so you can install it on Android phones and tablets. The Play Store listing shows 100,000,000+ installs.