Setting a static home page and blog page without using the settings

This may seem like a stupid question, and it probably isn’t possible, but is it possible for me to set a static home page (using front-page.php) and a blog page (using home.php, I think) in my theme, and have the blog page appear on a separate slug WITHOUT changing the page settings in my WordPress installation, under Settings > Reading? So http://www.mysite.com/blog/ will show my blog (home.php), and http://www.mysite.com/ will show my home page (front-page.php)?