You won't be able to use the banners created in the Promotions Center on your website; however, the promotion messages will still be shown on your shopping cart and checkout pages to indicate that you're running a promotion.
As a workaround to using the banners that can be created in the Promotions Center, you can create banners on your own that indicate what your current promotions are, and then use your own banners in conjunction with the shopping cart and checkout messaging available with all promotions.