Is it possible to change logo image using stylesheet?

This plugin is intended to only change the CSS files, if you want to change the content of a page, you should look into themes switchers.

Though, if you set your logo as a background image, you can change it with CSS (see : https://css-tricks.com/replace-the-image-in-an-img-with-css/). That way, you could define a different logo for each stylesheet.