The closest you can get is called "curve through XYZ points" in 2007. I think it used to be called "curve through free points", but I'm not sure anymore. I never use it. Anyhow, this will create a curve object that is a spline fitted to a set of input points. Those points can be read from a text file or Excel table. The curve is not a sketch, so if you need it to be in a sketch, you could use convert entites to copy it into a sketch. Also, the points cannot update to anything automatically. Any changes have to be made manually through edit feature. I'm not sure if this can be different for different configurations. I doubt it. You'd have to create a new curve for each config, and suppress the ones you don't need.
I believe the API can be used to generate geometry from functions, but I'm not sure of the details, or whether you can only generate spline fits. So, a macro, macro feature, add-in, or 3rd party tool (don't know any current ones) will be necessary to get any significant automation. If there won't be too many changes, some creative work with Excel and maybe design tables could be done to at least use dimensions from the model to drive the function without having to manually copy them.