I could not find this functionality in the VS web testing tools (however, I don't use these tools very often). You may want to re-ask on the VSTS Testing forum (http://forums.microsoft.com/MSDN/ShowForum.aspx?ForumID=19&SiteID=1)
I'm assuming by "broken links", you mean links that don't go anywhere (either due to typo, or moved web site).
Sorry for the delay in getting an answer.
As far as I can tell, the answer is no. I did some digging, and it's unclear whether there are any add-ins available to do this. Obviously, you could write something to do this, or use one of the other broken link tools available on the web.