I'm not certain but I don't think so since Chromium is supposed to be the fully open source version it doesn't support the codecs or Media Source Extensions[0] that make it possible to enable the DRM modules Netflix uses.
You can test for support on Youtube[1] as well (I don't have Chromium so I'm not sure what the results are.)
[0]http://askubuntu.com/questions/158388/how-do-i-make-chromium...