To Microwave: Combine plums with sugar and ginger in microwave-safe dish.
Sprinkle chicken breast halves with pepper and paprika.
Arrange on top of plums.
Cover dish with plastic wrap, turning back 1 edge about 1/2 inch to form steam vent.
Microwave on MEDIUM (50% power) 5 minutes.
Baste chicken with juices and rotate dish 1/4 turn.
Microwave on MEDIUM 5 to 7 minutes more.
Let stand, covered, 2 to 3 minutes