By default, WordPress does not offer a way of editing archives. (archive templates are utterly useless in any real life applications, if any cares about my opinion).
You would have to create a theme option/settings page, where you would control the styling of an archive template.
But, quicker would be to just not use an archive template at all and instead put a shortcode into a normal page, where you could then use Visual Composer (you can even make your shortcode a VC element).