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From our experience, yes. But. When you have one go broody, you need to put it in a seperate pen. This solves issues with egg swapping, and hen eviction, that flocks tend to do.
And, it is important to ake sure the hen gets off the nest to eat, drink nad poop once per day.
More often then not, since back yard flocks are not wild, you have to haul them off the nest each day, for a few minutes.
Other things to note about Cochins. They are not mature until 9 months of age. They do lay the same amount of eggs as production layers, but it is spread out more, so you get a longer time period of eggs out of them.
You might be able to find someone near you that has pullets for sale. That can shorten the waiting period for you.
Just make sure to practice good isolation for a couple of weeks first.