No, at the breach it will just burn up until the arc dissipates. But it will be an impressive fireworks display. A superconductor is in the end just another conductor, it has a well defined current carrying capacity while superconducting and if it stops doing that then that current will suddenly see an increased resistance, how much current is moving through it at the time it failes determines how fast and how violent it burns out when it goes, but it won't be unlike another transmission line failure. Those are still very impressive:

https://www.youtube.com/watch?v=-Zib4IV2TIg

It stays lit until the breaker goes at 3:57.