No, this can not and will not be possible through Advanced Module Manager.
Advanced Module Manager works on the server-side level (PHP).
PHP cannot see what the screensize of the visitor is. That can only be read on the client-side. So via CSS or javascript.
You can hide modules via CSS by simply giving them a class name and adding the necessary CSS to handle that.
But that will not prevent the module from being rendered on the page. It just hides it.