No they don't do stockings. Nikalaus (St. Nik) comes on 6th - kids leave their (or dad's...) boot out for him to fill with sweets and/ or small presents - he also visits Kindergartens and Playgroups etc. (surprisingly often gives peanuts on these occassions). Presents appear under the tree on the evening of the 24th while the family are eating dinner (magically, funny how one of the parents had such a long loo break mid meal...). Left by The Christkind traditionally, or nowadays sometimes by Weinachtsmann (Christmas man, who is sort of Father Christmas) in order to be non religious I assume...
Stockings don't feature except in dual culture families - we do all the above plus stockings (which were gifts from somebody in the UK, if I wanted to buy them now I guess I would order on the internet from the UK).