For white? he can play 1. Kc3 to try and complicate things, when 2. Kf2?? or Kf3?? would lose the opposition, but black still wins after Ke1!
Then white has 3 responses, Kd3 is met by Ke1 reaching the position above again, and Kd2/Kc2 are met with black simply taking the opposition again