No, the Republic of China considers itself to be the official Chinese government and that other government, the People's Republic of China, is a rouge state. The RC doesn't have the military might to bring them under control and the PRC feels the same about the RC. It's like if Texas and other southern states went rouge, declared themselves the United States of America, claimed all 50 states as part of America, and DC called BS and also claimed all 50 states. If no force is used to reconcile then only negotiations remain and that is where China is now.