...yes and no. On one hand, China could do more -- they could aid local communists, or at least local groups who are trying to improve women's rights specifically. On the other hand, much of the last century is riddled with examples of when even the good kind of more direct intervention backfires, especially in the context of an enemy in the U.S. who will seek to use anything and everything against China.
Take the "China should do more" idea to the extreme: China invades and installs a communist government. We should all see a million reasons why that would turn out badly.