Can my ex send me a request to produce on a divorce that is closed?
It depends on what she's asking for. If you are obligated to pay child support and/or alimony, then she can absolutely ask to have you produce current financial and certain job related information.
Change of financial circumstances may always be an issue when dealing with support.
Check to see if the file has been reopened on the docket. Until that is done, you do not have to comply.