As far as I know, there was never a compound charger fitted to an aircraft engine and I can't see why it would be needed. Sure some engines are fitted with turbo or super chargers but not both.
Aircraft forced induction has a different goal than automotive ones. In cars, they are used to increase power. In aircraft, they are used to maintain a particular power level at different altitudes. Lag is not a consideration as they are generally run a constant RPM.