Currently it is not possible to create a dynamic link to the Edit Profile page that allows any user to access it. The reason for this is the edit link includes the user ID for the specific user accessing it, so each users Edit Profile link is Unique.

You can direct users on how to get to their Edit profile screen by following these instructions:
  1. While logged in, click on your name in the top right corner
  2. From the drop down menu, select Profile
Here is an example screenshot of where to find this:
Location of the Edit Profile link