No, through the 2010 NFL season, no team has ever gone 9-7 during the regular season, and went on to win the Super Bowl title.
There have been a few teams that have gone 10-6 during the regular season, and won the Super Bowl title, such as the 2007 New York Giants and 2010 Green Bay Packers.
In addition, there have been a few teams that have gone 9-7 during the regular season, and won the Conference Championship Game, such as the 1979 LA Rams and 2008 Arizona Cardinals.
However, no 9-7 team has ever won the Super Bowl.
An old saying goes something like this ....
There's a 1st time for everything right?