The answer is - yes and no:
Yes - if you use different sources for the galleries : http://www.wikidot.com/doc:flickrgallery-module
( using different tags of flickr sorage - id's)
Yes - if you use the gallery not as a short - call ( as in the example page here) but with single image-source -definitions as in the description: http://www.wikidot.com/doc:wiki-syntax#toc25
NO: if you try to use the short form [[gallery]] there is no difference taken in the images of the page - all attached images are shown at this location of the gallery tag.
It would be goo to use any "include" page with a gallery tag with different attached images… but the include source is taken as it is and the images are not found if the pagename is not used ( like /pagename/image-name.jpg ).
NO: it is not a good idea to "overwhelm" any browser with lots of images - and only the first tab is shown at the beginnning of the download - the browser is loading and loading tons of images and nobody can see why in this moment - the other tabs are filled in the background.
"Tabs" mean - they are all incorporated at the one page and downloaded at the start of the page in one go.
And all images placed any where in the tabs too!