Innate talents definitely exist. To state otherwise would be to ignore the millions upon millions of examples of people who simply 'take' to things with very little practise when compared to others. Mozart being a great example.
I also agree with something stated above to the effect that most of the masters in any given field possess a natural talent mixed with passion and practise. I remember hearing a story about a guy who was obsessed with becoming a chess grandmaster, and spent a good deal of his young adult life in pursuit of that goal. He certainly had the smarts (I think he became a neuroscientist in the end), but no matter how much he learned and practised, it just never happened. Meanwhile, he'd watch people much younger than him, who hadn't 'learned' the theory, and didn't have his experience getting to grandmaster. Then, one day, he got to play a grandmaster in a competition setting, and came to the realisation that all his hard work amounted to very little in the face of his opponent.
I think we all recognise that there are elements of this sort of thing present across all 'skill' pursuits.