[Fixed]-How can I link an edit page to my detail profile page in django?

You need separate views and URL-conf for editing and detail view. You only have ^user_profile/(?P\d+)/edit/$' in your URL-conf, so you can only access the view from user_profile/123/edit/. So you need to add another URL '^user_profile/(?P\d+)/$ to access from user_profile/123/.
The same with views, you need two separate ones for the simplest solution.