Dynamically Slicing Images For a Jigsaw Puzzle

I'm making a Jigsaw Puzzle game. I already have it working completely, but each of the pieces is created outside of unity. I'm currently using 2D objects for everything, but have no problem switching to 3D objects for the pieces. I was wondering if there was any way to dynamically create the pieces. For example, I choose an image, and using a formula to define the lines on which to cut the pieces. I'm just wondering if this is even possible to do strictly in Unity. And if so, is it possible with 2D objects, or just 3D objects. Any suggestions/direction is greatly appreciated. Thank you!