If you scored a hold point on a battlefield, can Kai'sa still draw a card when you move her to that battlefield after moving your unit off?

Ruling: No, Kai'sa cannot draw a card because you cannot conquer a battlefield you have already scored this turn.

Nuances:

• You could move Kai'sa to base/bounce her and replay her with accelerate to try to conquer a different battlefield you haven't scored yet this turn