I believe, as this is a matter of belief, the answer is yes and no. This may seem like a cop out but I assure you it is not as life is a paradox. From nothing, there is something. We know there is something because we see, hear, touch, taste, and smell our existence. We know the universe has changed dramatically from the time of the big bang, and these changes seem to have crafted conditions conducive to sentient being's existence. We know this because we ARE. An easier way to illustrate what I'm saying is with a metaphor, so here it goes... (disclaimer: this IS a metaphor and the only conclusions I mean to draw from it are the ones I specifically point out)
Let's say humans were, instead, cells of a body. As cells we know nothing of the much larger body, yet we go about our daily lives, making friends, working, taking vacations etc... This seems mundane to the cell because it has no clue it's performing a function for the body. The cell can freely choose to indulge on chemicals that make it's daily life easier, it can over eat, over sleep, and be an overall bum. In doing so, the cell does not necessarily know that if it's lackadaisical approach to it's life were to spread, it would assuredly lead to mutual destruction. The cell still has free will to make choices, but only as long as those choices are not a detriment to the system it's living in. Even then, it can choose destruction, but the consequences mean the end of it's existence forever, as the body would die and there would be no system for the cell to inhabit.
As far as predetermination, the metaphor doesn't serve my purposes so I will leave it at that, but whether we want things to happen or not, they are already in motion. The only control we have over a lot of occurances, is as far as we are tapped into the will of 'God'. In other words, if a 200 billion year old asteroid were approaching Earth, we could group together and find a way to destroy the asteroid before it entered the atmosphere, but that asteroid's journey began 200 billion years ago. It was always going to approach Earth, we know this because, metaphorically, it's staring us down. But, whether the asteroid actually hits or not depends on the inhabitants of Earth and how they deal with the challenge.