c++ Is it possible and good practice to overwrite inheritance?

Is the following structure in c++ doable and recommended?

class IColour{}

class Grey: public IColour {}

class DarkGrey: public IColour {}

class IMaterial {}

class Rock: public Material, public Grey {}

class Basalt : public Rock, public DarkGrey {}

Is there a way to overwrite the inheritance of a base class in a derived class? That is, is it possible to overwrite the inheritance of Grey with DarkGrey in Basalt?