You can deploy a Progressive Web App (PWA) to both the Google Play Store and the Apple App Store, though the processes differ.

Google Play Store:

1. Using Trusted Web Activity (TWA): With Chrome version 72 and later, you can integrate your web app content with an Android app using Trusted Web Activities (TWA). TWA allows Chrome to run a website in fullscreen mode without a browser toolbar within an APK (Android Package).

2. Android Studio: To set up TWA, you'll need Android Studio, but you don't have to write Java code.

3. Create a new TWA project: Launch Android Studio and choose "Start a new Android Studio project". Then select the "Add No Activity" option to configure the project.

4. Connect with JitPack: Add code to the support library build.gradle