That's not feasible at all. In fact, Chinese rely more on Russian tactics. Rather than floating carriers which cost $2-4 billion apiece, they prefer putting 3-4 carriers total and rely the rest on accurate missile technologies. That's the reason they are going for anti-carrier ballistic missiles. It will take time but this is far more efficient and cheaper.
The US needs 12 carriers as it has military bases all around the world to police countries and intimidate countries. China's focus will be its immediate maritime borders. I don't see why would China be interested in pushing Argentina around in the future.