currently no, its gone for good once beaten.. BUT, this and other key story missions are all things we plan to adjust the rules on to be playable again in a future playthough. They will just be very rare/low priority. Things like the Relic Hunt for example have really good rewards, so we do not want to have farming of that mission 
We will make a point of doing a news story on ultra-combo and tweets when we update all these to come back.
Great question btw!