It's not just this solar system, it would be the entire universe and all the evidence supports the universe being formed through natural, unguided processes. Look at it this way, our sun is just one star out of several hundred billion stars in our galaxy and there are several hundred billion galaxies, all with billions of stars, that we know of. In the small sampling of planets that we can detect, there are several rocky types that could support life as we know it.
This means that there is a relatively good chance that alien life exists in our galaxy and potentially intelligent life elsewhere in our universe.
But in all of this, we see no evidence that would suggest design of any type.