I'd guess so. Danish is very similar to English, which is a Germanic language, so possibly.
Fun fact: English is similar to Danish as Danish vikings often travelled to England to pillage. (Excuse my spelling mistakes, I was born in America but I spent my whole life in Poland :/)
Fun fact: Many danish often settled in England as the soil was more fertile and the churches offered a lot of wealth to steal. There have been four Danish kings that ruled England. Also there were just as many Norwegians that raided England...as Well as the Welsh, the Irish and the Scottish. It is known in as the Saxon times...pretty much 300 years of barbarism before the real life game of thrones era! ;)
Absolutely. They are basically the same word. "schmuck" can be used as an adj. in German. Also, when referring to the verb "schmücken", (to decorate), you could say "Der Weihnachtsbaum ist geschmückt." (The christmas tree has been / is decorated). This sounds almost identical to the "t"-form of the danish adj.: "Hans hus er smukt." (His house is pretty.)