ordering profile 2 module profile type tabs
Yes, by default profile2 module not cosidered any ordering of it's profile types.
if you want to change default ordering of them you have some  solution.
create a template file for user_profile . 
Another way is ordering them with form alter
in your custom module 

function hook_form_alter(&amp;$form,$form_state) {
 if ($form_id == 'user_profile_form') {
     // do this for all your profile types
     $form['profile_yourprofiletype']['#weight'] = 'your optional order';
   }
 }