No, you can not finish temple run. It is meant to just see how far you can run and to see how long you can keep it up. You just run and collect coins and dodge obstacles and run even more. Hope I could help!!^_^
It is possible to pass the whole game on temple run. This is possible with support of the cheats, hinds and walkthroughs in this game. Get the instructions on how to pass this game on http://www.cheatsguru.com/iphone/temple_run/.