Question: in the movie no escape do they survive

Answer: Yes, The family board a boat and paddle downriver toward the Vietnamese border. They are spotted by a group of rebels, but keep paddling. Although the Vietnamese border patrol warns the family, at gunpoint, not to enter Vietnam, they take no action to actually stop them, and as soon as the boat crosses the border marker, the border patrol warn the rebels against attacking the family as they are now in Vietnamese waters and if the rebels shoot, they will consider it as an act of war, and would use fatal force against the rebels. As the family is retrieved by the border guards, they embrace each other, having finally reached the end of their ordeal. Later, in a hospital, Jack and Annie narrate to the kids the story of how Lucy was born, a story the two daughters asked to hear about earlier in the movie.