I see i misunderstood the question..
indeed you can change the order in the second tab of the "edit template" view (under resources)
...
but as far as i know it is not possible to have one or more TV content entry forms before the standard ’document content’ textarea ...
or is it ?
BTW in answer to your query:
You know what would be good to have here? Some way to organise/group template variables within the manager - I’ve set up blocks that the user can toggle on and off and it would be great to be able to have each set of associated TV’s for each block in it’s own box with a title on it. Just a thought...
You could have a look at this:
http://modxcms.com/Customize-Manager-Fields-1342.html
Im not shure it does what you ask but it should enable you to change te names/titles of the default variables (long title, document content) .. maybe it could do more things; it uses jsquery, so you might look what it can do for in terms of customizing the content entry form ..