Hi,
yes, you can do this with 2 ways:
1. Hide Button with CSS
You can simply add this CSS rule at your template:
.profile .btn-toolbar .btn{display:none;}
2. With template override of profile page
Copy attached file at /templates/your-template-folder/html/com_jsn/profile/ (create missing folders). This file is the same of Easy Profile (components/com_jsn/views/profile/tmpl/default.php) but without edit button.
With Joomla template override feature if you update Easy Profile you will not lost this modification