No, because some of the Kokiri state that they would die if they were to leave the forest, but that others get lost in the Lost Woods. I think it has something to do with them being "fairy children", a part of the forest in a way. That's why they don't get lost and why they can interact with the...
The only person who was in the Forest and wasn't a Kokiri was Link anyway, so you wouldn't "outlive" anyone, unless you count the people that get lost and turn into Stalfos.
But on another note, it'd be a pain in the butt to have a fight with one of your friends because you're both too young...
I wouldn't want to be a Kokiri... I mean... I'd just be a little dude with blond hair covering my eyes, attempting to lift a boulder all day that never budges! Or I could stand there punching my fists in the air at nothing, then run away when the bad guys come... Or I could sit on top of a roof...