Again, no. The IIc's display port is *seriously* not-kidding unique to it. It taps directly into pre-output-stage portions of the Apple II's video generation system at TTL signal levels and is completely 100% incompatible with the DB-15 plug on any other Apple machine including the Macintosh and IIgs.

(Okay, in principle you can tap composite video on the same pins in the IIc and the IIgs, so *if* the LCD panel was composite you could use it on both machines. But the Apple knowledge base article specifically says the FPD is *not* compatible with the IIgs, which at least implies it uses the TTL-level signals to work.)