I finally met up with this hot guy I have been lusting over on grindr for over a year, and it turns out he was in the middle of a week-long binge of little sleep and constant meth use. It was clear he was slightly disorientated at times, and I imagine that he eventually crashed and got back to his job and his life. Question: is it a given that he'll be dead soon? Can people go that long without sleep and not drastically shorten their lives?

Maybe if he doesnt stop sooner than later. and like Porky V2 said @porkyV2:

but expect him to lose his sex appeal as meth makes people ugly as fuck in the long run.

There's a high possibility of him going crazy though as Meth messes with the brains sensitive biochemistry in the long run. 
Actually Science has not proven that sleep is absolutely vital to human life, but studies have shown that having little to no sleep as being highly correlated to a shorter life expectancy.
Also like Porky V2 said again Meth has been highly correlated to Heart attacks in the younger population, along with cocaine.