I expect there are pros here who can answer that – I'm only a humble PPL and SLF, though I've been on the jump seat of a 737 for approach and landing at Kai Tak, and I've sat out a typhoon in HK (on the ground, thankfully). I'd have thought that even if the wind was straight down the runway at Kai Tak (as it seems to have been for this landing at Chek Lap Kok), the wind reflections off the mountains and the buildings would have made it very dangerous either to approach runway 13, or to go around from an approach to 31.