Good heavens, yes! This ship is filled with families, and while the Squok Club was busy at certain times of the day and night on my cruise, families tended to stay and play together, even until the wee hours.
The Squok Club facility, located on Deck 12, is bright and cheerful with several computer stations and play areas. There is only one room for all ages, but the kids don't seem to mind. Their "counselors" run them all over the ship in any event; the groups of children, from age 3 to 12, can be seen as pirates or chefs or in dance or art classes. One of the most enjoyable moments onboard for me was the group portrait being taken at a photography station. Approximately 20 kids, all ages, were sitting cross-legged on the floor, all dressed in costume, cheerfully yelling the Italian version of "cheese" while the photographer clicked away.
Costa also allows parents to go on shore excursions while their children are in the club, and there is no charge for the service.
There is a separate teen club with various activities for the 13 - 17 crowd.