I think we are getting into blend modes between textures at this point. I've never done so myself, but supposing that bump mapping requires multiple textures, one for the map and one for the environment map, it's theoretically possible. Given that each shader can support blend modes for previous and next shaders and multiple layers are also supported.
The shader blending engine is a deep and mysterious beast. Playing around with multiple shaders and layers of shaders can get you close, but I don't have a "how to" answer for you.
Let's see if I can find an answer from one of the dev/demo team.
#XPression