I have never seen a search feature such as this especially with the mysql search function which most forum software uses, I even have sphinx installed on my server of an additional search and it does not have that feature as well.
Now one thing you can use to find topics that have not been responded to is use the Today's Posts feature. That will list a new Topic as a post and you can see over to the right side and see Replies and Views, which is 0 replies that is a given with no responses.