No, the country called China came into being over 2000 years ago. From then on (apart from the civil wars and divisions every few hundred years) we have been a country ruled by one central authority, very similar to a modern nation state.
India on the other hand was created by the British, by uniting various independent kingdoms in the subcontinent.
Lol, no it didn't. It belonged to various emperors, the last being the Qing empire. So unless you're gonna pretend to be the descendent of the Qings, the nation state of People's Republic of China roughly the same age as the Republic of India