Yes — on Google Play
Google Classroom has a Google Play listing.
App Store
On Google Play
Is Google Classroom on Android?
About Google Classroom
Classroom is a free service for schools, non-profits, and anyone with a personal Google account. Classroom makes it easy for learners and instructors to connect—inside and outside of schools. Classroom saves time and paper, and makes it easy to create classes, distribute assignments, communicate, and stay organized.…
Google Classroom is listed on both the App Store and Google Play from Google, so you can install it on Android phones and tablets. The Play Store listing shows 10,000,000+ installs.