you can move anything to anywhere within the template.
Make a copy of the tpl_product_info_display.php and put it in your template override directory.
In that file you could then move the div for the attributes up in the page. Justy grab the following code:
<!--bof Attributes Module -->
<?php
if ($pr_attr->fields['total'] > 0) {
?>
<?php
/**
* display the product atributes
*/
require($template->get_template_dir('/tpl_modules_attributes.php',DIR_WS_TEMPLATE, $current_page_base,'templates'). '/tpl_modules_attributes.php'); ?>
<?php
}
?>
<!--eof Attributes Module -->

and move it elsewhere. e.g. right after <!--eof Product Description -->
If you put it there it will be the very next thing displayed after the item description but before the add to cart box.