Maybe yes. Probably not! Gongenzaka kinda gets HyperWorried about things!

"Mnh, not necessarily...one of the symptoms of Hypothermia after all, is feeling abruptly warm instead of cold- so you can see why it would suddenly be a problem..." Frankly, Giorno does not likely have hypothermia.

(He should still get a coat.) "Either way, you probably shouldn't be pushing to the limit of your tolerance either! You could seriously injure yourself that way..!" Or at least risk some kinda frostbite, wow,