I'm not sure. I do believe in natural creativity, but I also know how much is gained through developing it over time by continual work and practice.
I think there's a mixture of both. Even with natural creativity, it requires work to reach its potential, but there's also possibly a limit imposed by whether you're "got it" or not.
I believe both statements in the poll are equally correct, but I'll vote for "you've either got it or you don't", because I'm elitist like that.