Facebook – How to see all of the links I’ve ever posted from the new Jan. 2011 Facebook profile

No.

Taken from Facebook's FAQ:

Facebook does not provide applications or groups with the technical means to allow people to track profile views or see statistics on how often a particular piece of content has been viewed and by whom. If an application claims to provide this functionality, please report the application by going to the application’s About page and clicking "Report Application" at the bottom of the page, or by clicking "Report" at the bottom of any canvas page within the application.

Applications you use may ask for permission to access content from your News Feed and Wall. Granting this permission does not allow applications to see who has viewed your profile. It simply allows applications to see which friends have interacted with posts, such as which friends liked or engaged with a particular wall post.

Source

It's in Account → Account Settings, near the end of the page. Here's a video about how to use it and where to find it, but keep in mind that the option hasn't been rolled out to everyone yet, so you might not see it right now.