We certainly do, you can create URL's to share via email, social networking or just about anywhere from within the Control Panel on the web app.
Simply hover over a file or folder in your backup and click Share to bring up sharing options. Here you will be able to share files with other YesBackup users via email, or by clicking Public Link you can generate a link and give it to anyone to access the file or folder.
You can control what has been shared by clicking the Sharing button at the top of the page. Here you can stop any shares to disable others accessing them if you wish.