Is China capable of developing and building a nuclear-powered guided missile destroyer with a displacement of10.5 million tons?

We have this ability, but we don't have to build it. If we want to build it, we need to improve the propulsion system. For China, there is no need to be a world policeman, build 15000 tons, and have such a long battery life. And neighboring countries will publicize the threat of China. Nuclear power is not difficult for China. We have been able to miniaturize nuclear reactors for a long time.