Yes, you may play it again, but NOT FOR CREDIT. :( Meaning, you would not get a chronicle for it. And you would need to inform the GM that you had played it before. And she would have the right to ask you to not play it again, especially if doing so meant someone else could play it.
That is all the bad news.
The good news is that you may GM it and apply the chronicle to another character. Further good news is that if you GM 10 times, you will earn a star. That star will give you the right to replay FOR CREDIT one scenario of your choice. :)
Edit: just realized that we were talking about a Special. Ignore my advice about GMing this scenario, everything else applies. ;)