Can jump rope give you abs?
The short answer is, no. Not on its own. Jump rope is an excellent way to burn a lot more calories per hour than other forms of cardiovascular exercise. When you do this, the ab muscles which everyone has will become more visible.
You can specifically train your core to increase the size of this musculature, however, to make them pop you will need to reduce your total body fat percentage. Fat loss only occurs when a calorie deficit is achieved over a sustained period. Jump rope will help you achieve a calorie deficit because it can burn calories efficiently. But without a consistent and sustainable caloric deficit, no amount of jump rope or any form of exercise will magically melt fat.