Can I add wordpress to static site?

I have a 3 page static site – basically a landing page + a few others. I’d like to add a blog on the back end. I thought maybe I cold just upload WP into something like a directory ‘blog’ but then was reading that I may have to do something more to integrate. I don’t need (or really want) people to go to the blog from the landing page (so no need for navigation links, etc), but I would like people who land on the blog to be able to navigate to the front page. Any easy way to do this?
thx