Can this power be used even if Parliament has no power to make laws on a particular subject matter?
Yes, this power can be used even if Parliament has no power to make laws on a particular subject matter. The context provided states that it is lawful for Parliament to pass an act for regulating a matter if the Legislatures of two or more States pass resolutions expressing their desire for such legislation and the matter in question is not within the exclusive jurisdiction of Parliament as per articles 249 and 250.