Quick answer: no. There is not a built-in function to create a new comment status. The status of a comment (or a post/page/attachment/etc) contains wide-spread implications thoughout your WordPress install, so you couldn’t just add one somewhere quickly.
I’m not exactly sure what you’re trying to accomplish by adding this new “status”, but I think the closest thing you could use would be the add_comment_meta function which will append whatever info you want to that comment. You can then use that field to somehow differentiate from the statuses.
Take a look here: http://codex.wordpress.org/Function_Reference/register_post_status
Or, maybe here: http://codex.wordpress.org/Function_Reference/add_comment_meta
That might help you get where you want to go.
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