Is it possible to 3D print shapes of atomic orbitals for a regular customer?
As Darth pixel mentioned, your best bet would likely be to explore subsurface laser engraving which makes little bubbles inside acrylic to make it translucent (frosted) on the inside in certain places.  However, it is expensive, it has no colors, and the resolution isn't usually great (it may look speckled on the edges instead of having a smooth gradient from clear to whitish).

A better option might be to 3d print a probability map of a 2D image an orbital cloud where height corresponds to probability rather than color. (So it will look like a hill or group of hills)  This would only run you a few dollars.