Yes but you need to write a simple plugin to do this:
- Create date field with alias last_update_profile (hidden on profile edit and registration)
- Download, install and enable our skeleton plugin (you can download this at the end of page https://www.easy-profile.com/docs/44-triggers.html)
- open edit the file /plugins/jsn/skeleton/skeleton.php
- remove examples functions: triggerFieldAvatarUpdate, triggerProfileUpdate
- add this function:

triggerProfileUpdate($user,&$data,$changed,$isNew){ 

  $data["last_update_profile"]=date("Y-m-d H:i:s");

}

with this code on every update profile the current data (in SQL format) will be stored in last_update_profile field.

NOTE: this code is not tested and not supported. Only for examples purpose