In fact, classic 18th century deism posited just such a view. Note that this is about as strong a view of fatalism as can be thought. Further, being a determinist says nothing about one's commitments to theology. Therefore, even though such a determinist believes that all events of human nature are caused, he or she need not believe that they are in any sense fated. Remember, though, that being a determinist entails that, given prior events as causes, future effects must inevitably occur.
Determinism is the belief that some system of events is entirely causal, nothing more, nothing less.
In the absence of any surefire planning for such a system of causes, determinism cannot become fatalism.