Whether on the Requests screen or on your profile, you can always mark the request as solved. It will remain visible to you only. You can easily reactivate the request by tapping on "solved" again.
If you made a mistake or would like to edit your request, use the dot menu on the top right of the request and tap "edit". You will be able to change the sharing settings, update the link or edit the text.
To delete the request and its data from Cooper completely and permanently, use the dot menu on the top right of the request and tap "delete".