Can inelastic scattering still give rise to diffraction?

If there is a way to measure the scattering particles after a single scattering event and determine thereby which particle did the scattering, then there should be no diffraction pattern. However, if there are multiple simultaneous scattering events, e.g., because of high photon flux or careful construction of the experiment, there may be some diffraction because then the scattering particle may NOT be identifiable.