NO, IIFT registration is not yet started for 2021 admission . The official date still not released yet. The application will on the offical website of IIFT . The application form is filled by online mode and fee is around 2000 INR for the general and OBC and 1000 INR for the SC/ST.
Usually, IIFT Delhi releases the Notification in November first week, with registrations to start on the IIFT website the following week. Do keep checking the IIFT and IIFT test portals regularly.
For more information about IIFT Test and Preparation do follow the link below