According to this graphic https://www.hunterurban.org/wp-content/uploads/2024/06/Car-L... 57.3% of children (0--18yo) are in a household with a car. There's a weighting issue here, but I'd still bet that most families in NYC have a car.
Either way it's close, and the closer you get to Manhattan the higher that number goes. Remember, there are over 8 million people in NYC, and over 12 million during the work day.