Can you die / lose all your health at the very end of Bastion?

Solution 1:

No, you cannot die.

I played through twice, and when I took Zulf the second time, it became evident pretty quickly that I was taking more damage than I should be able to when slowly trodding toward the exit. I didn't heal up but remained alive until the point where they stopped attacking me.

It appears to be a scripted event for cinematic purposes.