They used to, Judith, but mine quit working about a year ago, and instead of helping me get it sorted out, they suggested I use a third party mailing list provider instead.
That being said....I subscribed to yourmailinglistprovider.com, and it was the best decision I ever made! I'm not really sure why we even keep our Pappashop site up anymore, cause the mailing list function was about the only part of it we even used once we switched all our sales to Etsy.