Yes, it's chromatic aberration. The purple type is longitudinal aberration (or "axial colour") is caused by the inability of a lens to focus different colors in the same focal plane.
The image below shows a nasty example of it using a Canon EF 85mm f/1.2 L wide open on an EOS 5D.
You can also get transverse colour fringing which is often purple and green
This happens partly because the eye, and therefore auto focus systems, are more sensitive to green than other colours. The AF system tends to focus the "green image" accurately and if there is enough distorion of the light path through the lens (which is why this
can be more common in wide angle lenses) this can effectively alter the focal length of the red and blue "images" hence you see a slighly off centre colour "fringe".
This is explained much better than I can by
this website which is where I pinched these images from (so thanks to them!)