No. YOu have to register yearly.
I can tell you that Catholics have declined in terms of their share of the population in New York, as have Jews, while the non-religious have grown.
Of course, where I am writing these words (Washington State) the non-religious are at 28%, the largest "denomination" in the state and the highest proportion of non-religious in the world.
Methinks the Catholic Church growth in strongest in the South and the West, while declining (in terms of percentage of the population) in places like New York, Mass, and (possibly) New Jersey.