Is it possible to make 3D point cloud with RADAR?
A point cloud is related to how data is acquired and stored.  One can usually transform between point clouds and rasters and say, since they can be be used in similar ways, the answer is essentially yes.  The most similar type of RADAR to a LIDAR point cloud is a Synthetic Aperture RADAR which is just called SAR. 



and contrast it with a LIDAR Image , centered on the same place.  This might not be the best comparison but adequate for a 3 minute Google search.


clearly LIDAR has higher resolution.  The SAR image is formed from a coherent process of data acquired over a scan. LIDAR points are one time, travel time shots.  Each measurement adds a point.  I'm not aware of coherent LIDAR processing but I'm not State of the Art LIDAR researcher.  Doppler has an effect on the phase of the signal, and an incoherent energy detector is insensitive to phase.  You could take a SAR image and turn it into something like a point cloud but the way the data is collected and processed is different, so maybe your answer is no.

LIDAR, used like this are usually looking down over a narrow range of angles under the aircraft. SAR can more offset over a wider range of angles.  The SAR image is probably from a single flight path.  A LIDAR Image of the same extent would take a number flight paths.  One can use SAR in orbit.  I'm not sure about LIDAR through a lot of atmosphere. 

SAR will probably have the advantage with respect to transmission power for some time. 

The highest resolution global digital elevation maps that are publicly available are derived from SAR data.

https://en.m.wikipedia.org/wiki/Shuttle_Radar_Topography_Mission

LIDAR derived elevation data is growing.

requested edit:

A raster is a regular sampling, like uniform sampling.  Each point in a SAR image is produced by a calculation involving data that was collected over a time window, that for a pulsed waveform, would span multiple pulses. One needs to select those solution points.  Adjacent solution points overlap in the raw collected data input to the calculation.  SAR raw data can include polarization. 

A point cloud is a set of individual measurements and the points aren’t regularly spaced. 

SAR is a interferometric or coherent processor. SAR has some history to it and was first processed using analog processing.  Digital processing is the norm today.

Im not familiar with coherent Lidar but the term heterodyning, in my experience is analog processing. Cloud sampling isn’t a necessary theoretical requirement for Lidar.  The article that is cited in the comment speaks of continuous wave coherent Lidar which would seem to me a raster sort of sampling.  

Addressing what one can do that the other can’t,  has categories like can’t now, and can’t never.  The can’t now category shifts with technology. The can’t never ignores the possibility of an ultra Wideband, ultra agile, hybrid system. 

The missing comparison to Lidar is stereo vision and even in that case, they aren’t mutually exclusive.