Lots of people do it.
I did it many years ago. For the fist day, I was a bit nauseated & didn't have any appetite & headachy. But I always get that way at high altitudes. My buddies weren't affected much at all. (Now those darn marmots - or whatever they are - are the real problem with the Mt. Whitney hike! Completely trashed our campsite every time we left it.)