Hi Trevor,
There isn’t a direct way to do it, but Chimera’s Thermal Ellipsoids tool (in the Structure Analysis category) has this depiction for structures with anisotropic B-factor information (ANISOU records in PDB files).  If your structure doesn’t have such information, you can add fake information to the structure and fool Thermal Ellipsoids into rendering the depiction.  The following Python code will add fake anisotropic B-factor information to the structures atoms:

import numpy
import chimera
for a in chimera.openModels.list()[0].atoms:
a.anisoU = numpy.identity(3, dtype=numpy.float32) * a.radius

I have attached a file with the above Python in it.  Just open the file after you open your structure.  Then with the Thermal Ellipsoids tool you should be able to get something like this: