You can, but I recommend doing a quick spray of dullcote before painting again to provide a better surface.
Also, I don't recommend dipping, but rather holding the miniature upside down and painting the quickshade on. Dipping can cause too much of the quickshade to pool in areas on BattleTech minis; which is really difficult to shake off. Painting it on provides better control and allows you to brush off areas of excess or deal with bubbles.
But truth to be told, it's an awesome product. I have the medium tone, which works great on pretty much everything except for whites and creams or dark browns and blacks. Since it is a varnish though, you'll need white spirit or turpentine to clean your brush.