That is not possible, Earl, and it would not be a good idea either. Flickr is the best place online to store, organize, and share photography online. The Flickr rules are such that when you share an image from Flickr it has to include attribution back to there. ... so it can't link back to FAA. Likewise, the Flickr rules are such you can only post a link to a website with a shopping cart onto your Flickr profile, not on each picture post.
With regards to a button on your website to your Flickr Photostream, I have that, and you can find the buttons here ( if you have a Flickr account ) https://www.flickr.com/about/goodies/
