Nope.
"The vertical stabilizer on Airbus Model A300-600 series airplanes with Airbus Modification 4886 is manufactured of advanced composite materials. The vertical stabilizer on Airbus Model A310 series airplanes with the same modification is manufactured of the same materials."
Regards
Edit for history:
"The original A-300 design had this primary structure as aluminum. Then Airbus designed the A-310, which was actually the first airliner with an all-composite vertical stabilizer. Later, Airbus rolled out an improved A-300-600, which basically used the A-310 composite tail design." Hope that helps.