I doubt it...
I would think gooogle (and other large SE's) only generate the number of backlinks becasue they have indexed the site which is linking to it. so they see SiteA which links to SiteB and while indexing SiteA they make a note that SiteB has another backlink.
I dont think i have seen this information displayed anywhere publicly which would enable you to nab it
Altho it would be rather cool if google made an API which u could use to get info about a site, Google basically has a ton of info about every site on the internet (virtually) if only eh... lol
EDIT: I took to long posting.. im not sure how that snippet posted would work not run it but i dont see how it would get the info 
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Last edited by dansgalaxy; 11-21-2008 at 04:34 PM..
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