No, it’s a full blown app. 
Discussion
WTF!
Are you in the US?
I’m in the US & the Alby app does not show up in the Apple App Store for me. I have to use a browser extension.
I am in the US so all I can think of is that I installed it a long time ago (before Alby did away with custodial stuff) and I turned off all auto updates on my iPhone.
Hey, you gotta install getalbycom as PWA ("Add to home screen"). This is the app....
Native one coming, though, soon!