Derpy Officer is correct. I've attempted this myself. The answer is, yes and no. The date mechanism can be transplanted from gen to rep and vice versa. The click springs are completely different in the 3k compared to gen. The bridges are of different sizes. Therefore, the 3K bridges will not fit in the Gen, they need to be modded to fit the gen mainplate.
The center wheel, third wheel, fourth wheel and escape wheel, pallet are all different from gen. You would not be able to use a combination of gen and 3k here, they simply wont fit together. The pallet bridge is completely different in terms of screw positions and won't fit in the gen, no matter how much you manipulate it.
It will take TREMENDOUS effort to make a franken 324 Movement with a combintation of 3K and Gen parts. I would not recommend going down this rabbit hole. I've given up on it myself. It would be better to source a 324 movement.
It is also near impossible to source the bridge with the movement serial on it, so keep that in mind. You'll likely have to manipulate the 3K serial bridge to fit in your gen mainplate.