The short answer is no.
The long answer is that... Only actual D&D data that has been published by WotC in manuals, handbooks, adventures, accessories, supplements, and such will be added to the CS. This is because all of that information is approved by WotC. You will not find any of the Unearthed Arcana in the CS as it isn't official material (yet).
Forged has been kind to us to give us the custom tab which allows us to make custom races, backgrounds, religion/ patron / deity, subclasses, spells and class options for the sorcerer and warlock. Adding a custom class option introduces a whole new array of problems. Just as adding a whole new character class. Because everyone will one their custom character class added as well.
The more complex answer is that you can do it somewhat, especially with a d8 class. Look at a previous post I did where I did a pseudo mystic in this tool.
http://www.enworld.org/forum/showth...acter-Generator/page261&p=7068669#post7068669