Not unless the Aegis ship is well away from the carrier in the right direction. No Standard will get that far. Even the monster Typhon maxed out at 200 nm.
As I said, if the threat is China, keeping an Aegis ship between China and the carrier is not a big deal. Either the drone or the missile would have to overfly the Aegis ship, making both vulnerable to intercept long before they reached the carrier.
I was talking about a guided RV rather than payloads
A guided RV with terminal guidance capable of hitting a mobile target? Care to share the source of that?