No. Simply not possible, assuming that you are asking, if you know ONLY the red component, can you compute what a specific component would be in some other scheme (such as H from HSV).
When you look at how one might do the actual conversion, there are clear interactions. So if you know only R, without knowledge of those other components (here G and B) you cannot do the transformation.
If your question is that you have extracted each of R, G, and B, and now have them all known and held separately, can you compute any of H S, or V? That question gets a yes answer, since you then need only follow the equations for the conversion to some other color space.
