Can I sue for text messages and phone harassment?

Legal analysis: you can call the police if you are harassed, or you can ask for compensation for the losses caused by it.

Legal basis: Article 42 of the Law of People's Republic of China (PRC) on Public Security Administration Punishment repeatedly sends obscenity, insult, intimidation or other information, which interferes with the normal life of others, and shall be detained for not more than five days or fined not more than 500 yuan; If the circumstances are serious, they shall be detained for not less than five days but not more than ten days, and may also be fined not more than 500 yuan.