Can Lightmapped objects still cast dynamic shadows?

Is it possible to have an object that's baked with beast still being able to cast its dynamic shadow on other objects? I have a house in two different states: One broken and small, the other fixed and expanded on. They would cast different shadows on the floor. Ideally I would bake both houses with beast and leave the shadow on the floor dynamic so the terrain would only need one lightmap (with all the shadows of the nonchanging stuff). Right now if I bake the houses they also stop generating shadows. Thanks!