Yes, if the FEPS form is configured to allow for submitters to update or edit their submissions although this option is disabled by default.
The administrator of the site should utilize the "FEPS Menu" widget to provide logged in users with a list of properties submitted by them.
Submitted properties may be seen at
yoursite.com/my_feps_listings/ by logged in users. The FEPS Menu widget/shortcode has a button that links to this page. When the user is not logged in this page does not show anything.