Edit the post title from the frontend

Yes, you can change post title and slug from frontend. by using wp_update_post you can change title and slug of post. in below code, it will update post title and slug of post_id. Replace your-post-title-field with your title field in form. slug will generated using that post title.

if ( isset( $_POST['my_image_upload_nonce'], $_POST['post_id'] ) 
    && wp_verify_nonce( $_POST['my_image_upload_nonce'], 'my_image_upload' )
    && current_user_can( 'manage_options', $_POST['post_id'] )) {

    if(!empty($_POST['your-post-title-field']))
    {
      $new_slug = $new_title = sanitize_title($_POST['your-post-title-field']);
        wp_update_post(
            array (
                'ID'        => $_POST['post_id'],
                'post_title' => $new_title,
                'post_name' => $new_slug
            )
        );
    }
}