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Yes they have. They can choose to stay quiet and not say anything.

Such boycotts and backlashes are short-lived. If you look at past boycotts — against Dolce & Gabanna who made a racist commercial, or against the Japanese prime minister visiting war crime shrines — then you also see that after a while people forget about the boycott and continue to buy things. None of those were government-instigated either: in fact the government actively called on people to calm down. There was for example a restaurant in Shenyang which put on an anti-Japanese banner, and the police told him to take it down because it's too insulting to Japan.

So yes celebrities absolutely have a choice to wait until the fuss is over.