Highly unlikely.
The Internet Movie Data Base (imdb.com) lists the only New York location for shooting as Ithaca. I'm not a movie historian, by any means, but I suspect the bridge in IAWL was built on a sound stage.
Any movie historians wnat to take a shot at this one?
Is this the bridge that was filmed in Its A Wonderful Life?
Upon further review...
According to the Internet Movie Database, the bridge scenes for "It's a Wonderful Life" were shot on a backlot at RKO Studios. The reason that George Bailey (James Stewart) is sweating in those scenes is because they were shot on days where the temperature was over 90º.
http://www.imdb.com/title/tt0038650/trivia
So no, this is not the bridge where the scenes were shot.