A CCS unit only produces DCV (other than control signals and interlock). It DOES use the acv inputs, but superimposes some digital serial messages on it to help control the charging rate and other logic to safely charge the car.
In theory, it might be possible to build a CHADeMo output to a CCS unit, but you'd need a computer in between to translate the signals. The cost would likely be fairly high, and the usefulness not that great as CCS units become more plentiful. FWIW, many of the DC fast charging systems got upgraded to include CCS capability, primarily by just adding a logic board and a second cord/plug. You need that logic controller.