Not really. Some cutters have a simple hole, others have a countersunk hole. The holes are often different sizes as are their screws so you do need to find the right type to suit. The easy rougher Ci2 uses a really small screw and there's no way its cutter can be made to fit a Sorby, peeler or the bigger rougher for example. Lots of Sorby cutters require a flat head screw, most carbides need a countersunk screw etc. The Rougher screws are also flush to the top of the cutter, having a screw head protruding *may* affect it's efficiency due to gap loading. Who knows, just saying that although it's not really difficult to swap these things around for the most part there are a couple of things to consider.
Just common sense really.