I find this pretty unlikely, for the same reason that nanobots have difficulty communicating: it's hard to make an antenna at those size scales that can receive a signal, much less contribute to chemical-level energy changes.
At the point where the wavelength of the EM radiation is small enough to get detected by DNA-scale antennas, it's probably already classified as ionizing radiation.
DNA molecules are pretty long. And this isn't a Nyquist law issue (I don't think) because there isn't a need to transmit coherent information. You just need to apply enough of a voltage to kick over the redox state of two iron atoms (midpoint potential ~ -20 mV) every so often.
At the point where the wavelength of the EM radiation is small enough to get detected by DNA-scale antennas, it's probably already classified as ionizing radiation.