Sure, but not recommended, makes your site less flexible.
But you can put your site URL in a variable, pass it to the template.
code:
$smarty->assign ("url", http://www.example.com");
And call it.
code:
<input size="40" id="video_link" name="video_link" type="text" value='{url}/videos.php?id={$video[video].id}'>
/ 
