Yes, it is possible by modifying the item.php file, it is recommended to override the template at first.
The find the item.php and edit it, to order the tags alphabetically, use this code:
<?php arsort($this->item->tags); ?>
This should be before this line:
<?php foreach ($this->item->tags as $tag): ?>
And for the video, this is the code which displays the video
<?php if($this->item->params->get('itemRelatedMedia')): ?>
<?php if($item->videoType=='embedded'): ?>
<div class="itemRelMediaEmbedded"><?php echo $item->video; ?></div>
<?php else: ?>
<div class="itemRelMedia"><?php echo $item->video; ?></div>
<?php endif; ?>
<?php endif; ?>
You can move it wherever you need in the item.php file
