This is just a nicely edited video. Notice how there is a nicely built fire and then the chimp just throws some sticks on top?
They showed him lighting the match, but he dropped the match from what they showed, then cut to a happy monkey face. After that, they just cut to the stick on fire. The location of where the fire started and how much the fire spread was about in-line with the time they cut to his face and where the match was dropped from what I could tell. Looked like the match was dropped on the kindling, too. Poor editing, but I doubt this is fake. Monkeys can do a lot of simple shit.
Might be time to watch Harry and the Hendersons.
Also, this was a good comment on the video:
Andy Hu said:
What a fucking idiot, he fucking burned the shit out of it