Maybe, but that feature is pretty new and it doesn't even show up on the Desktop site. I've never even heard of it until now. I've been using the "like" Button for bookmarks since forever. Those are my bookmarks.
You can access your bookmarks on the desktop by going to http://mobile.twitter.com/i/bookmarks, but it really doesn't make sense to me that they're not integrated into the non-mobile page. I often bookmark things because I want to read them a) later or b) on a bigger screen. Currently, only the first use case is supported by Twitter.