The early idea of mobile phone goes back to the early stages of radio engineering. It was in 1917 that a Finnish inventor Eric Tigerstedt filed a patent for a "pocket-size folding telephone with a very thin carbon microphone". 
No, the real handheld mobile radio telephones were not created or commercialized at that time. It was after World War II that the race to create truly portable telephone devices began with developments taking place in many countries.