I am reasonably sure that there's nothing that will do that at the moment, but I am thinking it is not impossible. You'd need to indicate to such a tool that this is the gap you want to fix, so it wouldn't be a one click solution. But clicking the cursor above each break would surely be faster than fixing them manually.
The only reason I am answering your post is that if it is doable, I think I know the man who could do it, and that's Guillaume Stordeur of Lazy Nezumi Pro. He has a lot of customers in your line of work, so if you think it is a feature other illustrators would make use of, he might be tempted — that's if it is doable. You can tell him that I told you to bother him if you like. 🙂
Note: This is only valid if you are a Windows user. There is unlikely to ever be an OSX version of LNP.