We need to be more specific here. The supervisor access to teams feature allows a supervisor to login to /appadmin (with fewer menu options) and modify the skills assignment of resources. This would allow them to add resources normally assigned to only Team 2's skills to Team 1 as well.
A Call Redirect is different. If you want to actually move the calls from Team 1's AEF script to Team 2's you will need to modify the script. The most simplistic way to do this would be an If step with a parameter-type boolean variable. In the True branch you put a Call Redirect step to the trigger of Team 2's application. You can then enable/disable this from /appadmin on the Application Configuration page. This requires admin access to the system. If you can't give them admin access then your next option is to build a custom IVR which stores the boolean answer into an XML file on the doc repo that Team 1's script can query.
Lastly, don't forget about the reporting implications of this. You will be shifting all calls from one application/CSQ to another. There are other ways of doing this including nested Select Resource steps that would have kinds of impacts to your reports.
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