Destiny, no. A chain of events, technically yes...
Everything works according to physics, even if we haven't discovered the rules yet: Every speck of dust, every gust of wind, every electron in your brain, is the *result* of something else. If you could map *everything* out perfectly, and process it perfectly, you'd be able to simulate the future - set in stone. Every moodswing, every whim, every random thought as a result of the chemicals and electrons in your brain. Obviously, you can't simulate everything - nobody'd every be able to do this - you'd have to create an exact duplicate of our world (which would make a duplicate of it's world too, and where'd we get the matter for all these worlds?), but technically, everything's in motion and there's only one way everything will play out.
Because you'd never be able to see all the zillions of forces acting on you, this really doesn't mean squat. Practically speaking, we can make choices.