Not exactly above the contact information but above the e-mail form you can use the "Miscellaneous Info" field to put any extra Data.
If you really want it above the contact details you have to work with a layout-override. There is no way to do this through the admin backend. In Joomla 1.0 it was only possible with a hack, now in Joomla 1.5 there is the possibility of layout override.
This article shows how it's done.
If you want to see it live, install the beez template, which has overrides for nearly all core components of Joomla. So you can check how beez does it and then do something similar with your own template.
You can try making your own custom contact form. You must make the Custom HTML Contact Form and while using sendmail() function of PHP. You will find many PHP based contact forms available online. Use 'Jumi' Plugin to link the send button with the php code. Everything works perfectly like it should. I used it to make one of my contact forms.