Minimize rather than close a promotional pop-up?

My home page is www.stonepierpress.org, and right now we have a promotional pop-up that asks people to subscribe to our newsletter when they arrive on the site. They can close out of the pop-up, but I was wondering if it was possible to change that so they can only minimize the pop-up and it becomes almost like a small chat bar in the lower right-hand corner? Hard to describe but like a minimized page that it is in the bottom right when they navigate the rest of the website, so they can change their mind and subscribe. Thanks!