You can already do this.
If you are keeping the original settings that output info in tables, you can use the free StackTables plugin to stack table columns on mobile view for any tables on your site:
https://stephensherrardplugins.com/plugins/ssp-stacktables/
Otherwise, you can set the plugin to output divs instead of tables, and create your own custom CSS to stack and style the divs anyway you want for your mobile breakpoint.