If you are using Joomla's built-in 'Login Menu', you can set 'Login Redirect' parameter to another page and if you are using Joomla's native login module, you can set redirect parameter to any page of your site that you want.
In your case I would recommend to create a simple component (not a module) that authorizes your user for second time, and redirects them again to any other page that you want (if second login was successful) or kick the user (if second login was unsuccessful). If you do that, you'll be able to create a menu for your component and redirect your login panel (either it's a menu or a simple login module) to your component's menu.
Creating components for Joomla is not a big deal if you have a little of knowledge in php programming and there are some tools that may speed up creating your component, like this one: http://www.notwebdesign.com/joomla-component-creator/