Just consider for a moment how human creativity works. It begins as an imaginary concept in the entity of conscious awareness we call the human mind. Then this concept becomes a material reality through many consciously controlled interactions with the natural material elements to achieve a specific goal. Our reality comprises a mixture of consciously controlled interactions and deterministically defined reactions. The fact that human scientific discovery can explain the latter but can't explain the former does not mean that it does not exist.
Even if we don't have a full description of conscious willpower in neuroscientific terms that doesn't justify us in hoisting in some magic spell in its place. We don't have a full description of gravity so shall we imagine invisible pixies are pulling things downwards with invisible strings ? That believe it or not is your approach, it's banal, it's cheap, it's not worthy of thinking people. What we do is explore where the evidence points, that is the honest approach. If you allow magic in, then all insight is lost, all bets are off, and nothing makes any sense.
Here's an example of human creativity : I've seen bananas and I've seen blue, so I can imagine a blue banana. Here's an example of animal creativity : a chimp fashioning a twig to make a tool to extract termites from a mound, To achieve this, the chimp must use a combination of imagination and trial and error; a bit like scientific method, in fact. The fact that we see creativity and imagination at work in nature allows us to conclude that they are natural, not supernatural.
Can a colour blind man imagine a blue banana ? I think not, our imagination is bounded by what we have already experienced, at a base level. This is evidence that creativity is natural, it is bounded by what is possible. If homo sapiens uniquely were somehow supernatural then what would be to stop a colour blind man from imagining blue bananas ?