The establishment, observation, and potential control of correlated multi-electron dynamics is a complex problem of interest across disciplines with numerous applications in a variety of contexts, from femtosecond interatomic Coulomb decay and attosecond charge migration within small molecules, to energy transfer in photosynthetic systems, to quantum control of few- and many-body systems, and quantum information processing. The extreme sensitivity of Rydberg atoms to electric fields, including those produced by neighboring atoms, makes them superb candidates for studying such phenomena. In a quantum analogy to classical far-field radio transmission from a source to receiver antenna, we have transferred electronic wavepacket motion established within Rydberg atoms in a dilute nearly-frozen gas to neighboring Rydberg atoms. The transfer is enabled by electron correlations resulting from electric field-controlled, atom-atom couplings and relies on the use of both cold atom and ultrafast techniques.