Sure, why not? The reason that they're not widespread becomes apparent when you try to make 2 layers visible:
I'm having a hard time adding a third layer which is both easily distinguishable and still allows (black) numbers to be added. It might work if you have a different border style which is visible on enough places to make it clear; e.g. the top three 3x3 squares might work.
It is possible to construct 3 irregular layers which do not allow a solution, but I suspect most of them do. I will post a construction later today, if somebody else doesn't beat meHere is an example; the third layer is visualized by background patterns and/or white numbers instead of black.