I wonder if the family can accompany the crew on board?

It depends on the specific situation. According to China's regulations, if a foreign ship leaves from our port and the destination port is still China, then the crew members' families can apply for boarding, but the destination port is not abroad. However, the form is changing. It seems that some companies have begun to implement the management that the family members of crew members can accompany the ship and have to take a professional training certificate.