>>48165736Literally impossible because of how the elite four works. E.g. in the Kanto games once you beat Bruno you'd get a payout meaning you then have to lose to Agatha and start your E4 run over. Thus you're trapped in an infinite loop.
The only way you could complete the challenge is if the E4 (and Champion) only had one female member and she was at the beginning, but none of the games have such a setup.