Can a justice of the peace refuse to marry a man and a woman?

Yes, a justice of the peace can refuse to marry a couple, including a man and a woman, based on personal beliefs or other reasons. However, they must adhere to local laws and regulations governing marriage officiants, which may limit their ability to refuse service. In some jurisdictions, there may be legal consequences for unjustly refusing to perform a marriage. Ultimately, the ability to refuse can vary by location and specific circumstances.