Not necessarily, I guess the muffler, and possibly resonator, are two of the truly unique CSS parts. Other parts I can think of would be the rear carpet, rear strut bar and net, caliper covers, side decals, I've no doubt missed a few others but there isn't much else (BB please correct me if I'm off the mark). The other parts are used on other VAG cars, so I would think the suspension bits etc which differentiate the CSS from the CS should be ok.
But, to be on the safe side, I ordered a pair of CSS front discs and pads today, just in case....They are a consumable item so may not get locked anyway, even if they are unique to the CSS.