Frontend edit

Yes, a non-admin user can edit and their profile from a normal page on the front end.

You do not need the pro version for that.

You would:
1. define (and configure) your fields the way you want them to look by dragging them into an edit area, then
2. drag them to a form on a different settings page.
3. place a shortcode on the page you want the profile form to show like this [ user-meta type=’profile’ form=’yourformname’ ]

The pro version adds a bunch of fields and tabs to give more capabilities, but the basic stuff does work for free and you can override the css to make it look the way you want.