Unfortunately the answer is no. If the car was not originally ordered with the changer, it does not include the wiring. That being said, there is a factory harness you can buy that plugs into the existing wiring. You just have to run the wire bundle from the dash back to where you are mounting the changer (factory location is in center well).
Your car is prewired for a changer. The plugs are in the passeger footwell. The poster is correct in saying you will have to buy an install kit to get the body harness to the changer. Corvette Central has them in stock.