Don't believe so. Wouldn't have thought it's possible to track images in facebook because of privacy settings - if I uploaded one of your images as mine, it would be visible to only my "friends". This is because I lock down my facebook profile so that only people I have "accepted as friends" can see anything and everything about me.
I also believe FB strips any metadata on upload as it's stored on their servers as their own image.
Therefore I doubt there is any means of tracking the images.
If a flickr image is posted to facebook as simply a link to your flickr set or directly to the image you can then track visits to your flickr as per usual.
Hope that helps!