Adding Google Analytics to an RSS feed via server-side tracking?
I don't know of any off-the-shelf plugins that do it, but it seems like it'd be simple enough to set up, based on existing code.

Craft includes Guzzle which will make calling GA (or any web service) pretty easy. Trevor Davis' craft-guzzle has some code you could use as a starting point.  Just perusing the GA docs, you'll need to do use POST instead of GET but some of plumbing is already done.