No, during the hut tours you will spend the night in private rooms.
There are a few mountain huts (including Luční Bouda, Samotnia and Labská Bouda) where it is possible to spend the night in dormitories. You will then have to provide your own sleeping mat and sleeping bag. We usually only organize the trips with overnight stays in dormitories for scouting groups who don’t mind taking a sleeping bag and mat in their backpack.