Website link to home screen independent from browser

Hi everyone. You can easily add a website shortcut to the home screen through a browser ("add to home screen"). However, if I change browser or if I need to clear the browser data, these links disappear. Maybe I'm using too unstable of a browser, but I'm tired of having to recreate my shortcuts.

Is there any way of adding a website shortcut to the home screen in a browser-agnostic way?