The published listing
The Chrome Web Store listing named Hdmovie2 describes a new-tab page with movie wallpapers and widgets. Its listed website is hdmovie2.show. That description is not a promise of an embedded movie player.
Browser catalogue
You can use this HDMovie2 site's movie search and saved list without installing that extension. It does not share an account or synchronize saved movies with this catalogue.
Home-screen shortcut
A browser's available Add to Home Screen command creates a way back to the website. It is distinct from installing an extension in Chrome or installing a native Android application.
APK and old-version searches
No APK archive or old native-app version is supplied here. Use the app guide for the available browser experience and use a supported viewing application for video.
No installation needed to choose a film
Start with a production you want to watch. A wallpaper extension is a separate preference, not a required step between opening the catalogue and using its search.
Named watch links open searches on JustWatch. Set your viewing country and match the production before comparing offers.