Of course.
It's important to understand that the fear of CIC is because of deportation. This is something that the men are already using from day one.
It is very important to realize that there is a power imbalance. Once the woman has said yes to a marriage, they don't actually know their partner. This marriage is usually because someone has told them that this is a good family. I usually ask them what they knew about their husband. The woman says that she didn't know him. She had an aunt or someone who told her that the family is a good family and this man has a good balanced work position in Canada.