How to disable profile2 types? I have some types provided by the Profile 2 module that I want to disable, but not delete.

How can I accomplish this?
As far as I know the only way would be to disable permissions for viewing or editing the profiles for specific user roles. Those roles won't be able to see them. 

There are a few "things" that can be disabled (without deleting them) in Drupal - Views and Panels are some of them.