Legal analysis: Yes. The mortgage court can execute the auction, but the bank has the priority to be compensated. Court enforcement is a compulsory act taken by the court against the defendant according to the result of legal judgment. This is a special compulsory measure, and the executors of the people's court force the person subjected to execution to complete the specified behavior according to the provisions of legal documents. If the respondent fails to perform its obligations according to the notice of execution, the people's court has the right to seal up, detain, auction or sell off the property that the respondent should perform its obligations.

Legal basis: Article 229 of the Civil Procedure Law of People's Republic of China (PRC). If the person subjected to execution or the property subjected to execution is in other places, the local people's court may be entrusted to execute it on his behalf. After receiving the power of attorney, the entrusted people's court must start execution within 15 days and may not refuse. After the execution is completed, the people's court shall be informed of the execution results in writing in a timely manner; If the execution is not completed within 30 days, the entrusted people's court shall also be informed of the execution. If the entrusted people's court fails to execute it within 15 days from the date of receiving the power of attorney, the entrusted people's court may request the people's court at a higher level of the entrusted people's court to instruct the entrusted people's court to execute it.