Yep, you can get yearly, monthly and daily archives. For example:
Yearly: http://yoursite.com/2014/custom-post-type/
Monthly: http://yoursite.com/2014/08/custom-post-type/
Daily: http://yoursite.com/2014/08/01/custom-post-type/
Sorry, also, you can pass in the same arguments as the normal wp_get_archives function. More information here: http://codex.ww.wp.xz.cn/Function_Reference/wp_get_archives
There is a bug by passing in ‘type’ => ‘postbypost’ generates an incorrect link:
site.com/stories/story-of-spanish-speaking-client/stories/
instead of:
site.com/stories/story-of-spanish-speaking-client/
-Ethan