tags for individual images

not yet, because they are justr WordPress attachments. Maybe in a later version or with another plugin.

// apply tags to attachments
function add_tags_to_attachments() {
    register_taxonomy_for_object_type( 'post_tag', 'attachment' );
}
add_action( 'init' , 'add_tags_to_attachments' );

Read more here:
https://code.tutsplus.com/articles/applying-categories-tags-and-custom-taxonomies-to-media-attachments–wp-32319