It is possible to import a .dicom converted into a pile of images (.jpg/.png) and to apply a boolean operation with a cube to get a similar effect, and even to reproduce the MPR effect with a simple node setup and a script. Using images on their original plane, definitely yes.
For the meshes, it is very different; although it is possible to reproduce something comparable to a slice-scroll function with orthographic views and the ‘clip start’ option of the view menu; every virtual plane created by the slicing through the mesh would be empty and let appear the inner side of the surface of the object; the system would be a hack and have several serious disadvantages compared to a regular .dicom viewer (glitchy, slow, heavy computing…).
Clipping border (Alt+B) allows to get a rapid slicing effect but it is not editable; each clipping box must be done one at a time. (Z-Anatomy on LinkedIn: Demo fonctions de base)
I take good note of your question and will investigate; it would be a great option.
Maybe with nodes.