No. Not nearly enough. Normal radiated energy from electronic communications devices would not supply 1/10,000 of the amount of power required. Besides, it still has to be GENERATED somewhere.
Its my understanding that Tesla believed the electrical differential was generated by the rotation of the earth's magnetic field itself, and the interaction between the magnetic fields of the earth and sun.
In any event, It's a fact that the government seized all his papers when he died. They should be released.