No it has not.
The island was annexed in 1683 by the Qing dynasty of China and ceded to the Empire of Japan in 1895. The Republic of China, which had overthrown the Qing in 1912 under the leadership of Sun Yat-sen, took control following the surrender of Japan in World War II.
The immediate resumption of the Chinese Civil War resulted in the loss of the Chinese mainland to Communist forces, who established the People's Republic of China, and the flight of the ROC central government to Taiwan in 1949. The effective jurisdiction of the ROC has since been limited to Taiwan, Penghu, and smaller islands.