HERE IS THE "Stubblefield Induction Phone". Yes, there was a Wireless telephone in 1902, but the "Powers at Be" blocked his commercializing of it, because they could not make any money from it. Here is what Wikipedia say:
Nathan Beverly Stubblefield (November 22, 1860 – March 28, 1928), self-described "practical farmer, fruit grower and electrician",[2] was an American inventor best known for his wireless telephone work. He received widespread attention in early 1902 when he gave a series of public demonstrations of a battery-operated wireless telephone, which could be transported to different locations and used on mobile platforms such as boats. While this initial design employed conduction, in 1908 he received a U.S. patent for a wireless telephone system that used magnetic induction. However, he was ultimately unsuccessful in commercializing his inventions. He later went into seclusion, and died alone in 1928.

Disagreement exists whether Stubblefield's communications technology can be classified as radio, and if his 1902 demonstrations could be considered the first "radio broadcasts". Most reviews of his efforts have concluded that they were not radio transmissions, because his devices, although they used a form of "wireless", employed conduction and inductive fields, while the standard definition of radio is the transmission of electromagnetic radiation. However, Stubblefield may have been the first to simultaneously transmit audio wirelessly to multiple receivers, albeit over relatively short distances, while predicting the eventual development of broadcasting on a national scale.