You can not have that feature. You either can have the blog listing as the homepage or the static homepage. One other solution is possible but it will not show quite like the blog listing.
You can use the Cornerstone to add the content to the static homepage and then use the Classic Recent Posts element to add the blog listing. You will have some options there to determine how many blog items to show. You can read about the options below:
The article above is about the shortcode version and not the Element version inside the Cornerstone, but the options description is the same.