Anyone can be requested to give feedback. This feedback can be for the requester himself or someone else. When someone asks for feedback from you, you will be notified via email. You can respond to the feedback request from 'feedback requests & responses' tab on 'my feedback' page.
Note: One cannot change 'receiver' of the feedback or 'associated JIRA issue' while giving the feedback. While responding you only have control over who is it shared with, feedback tag, labels & the message.