Engine noise and broken exhaust bolt (updated with pics)

Here are some pics of the broken bolt. The first pic just gives some perspective as it was shot from the passenger door. The second pic zooms in on the last two bolts showing the broken bolt in the second from back position. The third pic zooms in on the broken bolt and shows the stud still intact.

As you can see there is very little room for working on this? Can the stud be removed without removing the head?