Hi "everywhere" it is good to see you again. Yes, some carnivorous plants form a new plant when the older branches touch the moss. The Sundews (the ones with the sticky technicals) do it all the time. Here is a Drosera Spatulata - the new plants are free because the old ones touched the moss around it.

... and another expample where an old leaf clearly wilted into the moss, and a plant just came up weeks later.

For the above type of plants, you can chop off the leaves and they will propagate. The Pitchers and Venus plants must be pulled from the core of the bulb underground, and when you do it right, the bottom of the stem looks like the white end of a stick of celery. That is the only way to propagate them.