No domain editor needed.
Simply create a new page and save it with a name other than index or one of the others checked by the browser for default page. If you save it in the same directory you'll have accesses to all the same resources. Don't forget to use the file extensions when calling it.
ex: shatas.co.cc/background.gif - goes to the website and displays the file background.gif in the browser if accessible
cPanel will allow you to create files if you have the code.