In theory: could a hunter solo the LK?

And if not, why?
The only issue I see that comes to mind is the Valk phase, but I'm certain some distracting shot trick, or disengaging back on at the right time, would negate it.
Bump.
Only thing so far that has done it is Dks. Considering that there are some fights hunters can solo that Dks cannot...I would say they can't do LK because of a mechanic or too much aoe damage to keep it all focused on their pet.