In your zen cart folders, find includes / templates / template_default / templates / tpl_contact_us_default.php. Make a copy of this file using the overrides folder system and work with your copy. You can always put back the original if you mess up.
You'll see that the various items on the page are created in a certain order there. You can move things around within that file to affect what is drawn first on the page, and second and so on. Then you go to your stylesheet and adjust various settings there to suit what you're after.
It's easier if you already know php, but you're not going to be writing or modifying any php, so it's not vital to know it. Just read the file carefully so you understand where chunks of code begin and end and then move those chunks all together.
For example, it looks to me as if the address info is defined in this block, near the top of the file...
PHP Code:
<?php if (CONTACT_US_STORE_NAME_ADDRESS== '1') { ?>
<address><?php echo nl2br(STORE_NAME_ADDRESS); ?></address>
<?php } ?>
If you move that down the file -- for example, below the line......you'll see that the address/phone number block in your Contact Us page drops down to just above the buttons at the bottom of the page.
HTH
Rob