Does Yanji have the right to detain people?

You can't. The US Food and Drug Administration has no right to arrest citizens, nor can it restrict or deprive citizens of their personal freedom. According to the provisions of the Administrative Punishment Law, the power of administrative punishment to restrict citizens' personal freedom can only be exercised by public security organs. No other administrative organ may exceed its functions and powers to restrict citizens' personal freedom. Article 16 of the Administrative Punishment Law: The people's governments of provinces, autonomous regions and municipalities directly under the Central Government authorized by the State Council or the State Council may decide that the administrative organs shall exercise the administrative punishment power of the relevant administrative organs, but the administrative punishment power that restricts personal freedom can only be exercised by the public security organs. Public security organs have the right to directly file a case for investigation. If food and medicine are suspected of committing a crime, it is a criminal case. Criminal cases are investigated and governed by public security organs. For such cases, if the food and drug regulatory authorities find suspected crimes in the process of administrative supervision and management, they should take the initiative to hand them over to the public security organs for handling. When a public security organ discovers a crime or receives a report of a suspected crime, it shall immediately investigate and deal with it. Jurisdiction over criminal cases stipulated in the Criminal Procedure Law: Article 18 Criminal cases shall be investigated by public security organs, unless otherwise stipulated by law. Crimes of corruption and bribery, crimes of dereliction of duty by state functionaries, crimes of illegal detention, crimes of extorting confessions by state functionaries by torture, crimes of retaliation and framing, crimes of illegal search, and crimes of infringing citizens' democratic rights shall be investigated by the people's procuratorate. If other major criminal cases committed by state functionaries by taking advantage of their functions and powers need to be directly accepted by the people's procuratorate, they may be placed on file for investigation upon the decision of the people's procuratorate at or above the provincial level. Cases of private prosecution are directly accepted by the people's courts.