Not under U.S. law. FB is free to discriminate against customers as it sees fit so long as the reason for discrimination is not the person's race, color, national origin, or religion under federal law (assuming federal law on discrimination by places of public accommodation even apply to purely online businesses, something that the courts have not yet settled). State laws may provide additional categories of protection. But outside those limited protected categories FB is free to discriminate as it wishes.
China may regulate how FB operates within China. FB is free to cooperate with what the Chinese government wants outside of China, too, so long as doing so does not violate the law of that other country. And lots of Western companies do cooperate with the Chinese government out of fear of losing their Chinese market. While American firms that do that risk offending some of their American customers, they don't violate U.S. law in doing it.

