Hello,
Yes, Kaltura, Drupal and Moodle all have different Google Analytics integrations and so, if you set it up on all these systems using the same GA ID, you should be able to see all these stats in Google Analytics. Of course, this depends on the type of stats you're interested in, naturally.
For info about how it works for Kaltura, look at:
http://knowledge.kaltura.com/google-analytics-kaltura-player
http://player.kaltura.com/docs/GoogleAnalytics