Yes, it is possible to apply for compulsory enforcement without a property certificate for the resettlement housing. The people's court has the power to freeze the property of the delinquent party in the case of not having a property certificate. After the freeze, the people's court will give the respondent a certain period of time to produce the property certificate. If the respondent fails to produce the certificate within the specified period, the people's court will go ahead and proceed with the execution.