Hogsnortrupert. Yes, from a "suitable" runway it will.
But is YMEN 17 @ 5128' (5.29%) "suitable"?
I only have an old dusty SuperKingAir 200 Raisbeck HFG manual and it's interesting how marginal it is reading the graphs with YMEN 17 data.
Now I don't know the details of the ZWC and I am not speculating whether it could or couldn't get away (noting that it was not legally required to be able to) but it irritates me when people say these things are always awesome on one and thus there is no problem.
The King Air ... can have a power failure ... and will settle into a climb of circa 130 kts for around 900-1000 ft/min ROC, after raising the gear, and flap passing 400 ft agl.
Oh - and what type of Kingair are you referring to? My manual says ISA SL 12,500lb 700fpm@121kts OEI feathered, Max continuous, Flaps 0, Gear up.