Well, someone needs to write the necessary code. It was done for the 'Combined question type' add-on, which is conceptually similar, so it must be possible. Cloze needs some code similar to:
- https://github.com/moodleou/moodle-qtype_combined/blob/master/questiontype.php#L201
- https://github.com/moodleou/moodle-qtype_combined/blob/master/question.php#L193