You would think that it would. But the way Chrome has implemented CSP, it doesn't. When you specify a CSP in a Chrome extension, it applies to the core extension (the background page) and all content scripts. It does not, however, apply to webpages you are running on.
So, if your CSP is set to deny all images, you can still add an image to a webpage. You just can't add an image to the core extension itself. Similarly, if you block eval() with a CSP, you can still eval() from the context of a webpage.