Currently the only best option without doing any coding is to create a gallery per student.

You can change the gallery id to match the ID provided to the student. You can even add additional image from the student later on or create a user (student) and assign their gallery.

something else you can do is register the images are full content type and password protect each image.

function my_plugin_display_content_type( $image_type ){
$image_type['show_ui']  = true;
$image_type['labels']  = array(
'name' => _x( 'Images', 'post type general name', 'ims' ),
'singular_name' => _x( 'image', 'post type singular name', 'ims' ),
);
return $image_type;
}
add_filter('ims_image_post_type','my_plugin_display_content_type');