The only way of doing this would be to change the code and program it to be in a different position.
Even if you did accomplish this, it's not recommended and if you need to upgrade, reinstall or apply any hotfixes, they are more than likely to overwrite the code you created and you'll end up having to recode or restructure what you have implemented.
If this is a feature you're looking for, I'd recommend raising a feature request.
Thanks Fluffy for the reply. I had a feeling that is currently the case. I went ahead and created a feature request for this (Ticket layout - Ability to re-arrange, specifically move Custom Fields ). Please vote on it if you would like to see this implemented.