The short answer is:
For Apple - yes. This is required, actually. You will need to set up your iTunes Apple Developer Account and add My Mobile App as an administrator.
For Android - no. In order to keep costs as low as possible, and to ensure our IP is protected, we do not allow other individuals or companies to be listed as the developer of our apps.
However, if you have a new app built with another developer we are more than happy to transfer your app name across for your new app.