There is nothing in particular quantum mechanical about the general principle of holography. There is , for example, such a thing as acoustical holography, which is entirely explainable in terms of classical wave interference and diffraction. Lasers are used in "traditional" optical holography because they provide a fixed frequency source of light.
Acoustical holography involves "imaging" the sound field produced by a vibrating object , such as a car engine. In acoustical holography, measurements are made in the "near field" of a sound source (i.e., close enough that interference and diffraction between sound waves generated by different parts of the object are important). Instead of a photographic plate, acoustical holography uses a planar array of microphones to sample the magnitude and phase of the sound field produced by the source, at a particular frequency. Reconstruction of the sound field of the source from the data is done by mathematical back-propagation from the data collected on the array.
Here is a link to an article
that goes into a bit more detail about how acoustical holography works.
I can't comment on your specific question (electron holography) since that's outside my expertise, but as you probably know, it's the wave properties of electron propagation (de Broglie wavelength) that make electron microscopy possible. So given the proper setup to capture the magnitude and phase of the electron wave field caused by scattering off an extended source, it should be possible in principle to do electron holography.