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There are two separate wiring diagrams for the Convertible and the Coupe/FRC in the manual. They show a specific wire from the radio to the power antenna in the Vert which is not shown for the coupe. Not certain but my guess is no; not in a coupe
It'd be easy enough to run one though. Take it from the switched power supply and it will only extend when the ignition is on. Better still, add a switch in the line and you can select up or down as you see fit. The Vert antenna grounds on the rear frame.