Yes! Absolutely!
International couples, non Danish residents &citizens, foreigners, people from all over the world come to Denmark to get married as it is easier to do this and travel to Denmark and thus avoid bureaucracy and long administrational processes in countries of residence. And as the marriage certificates are International, Legally recognised and issued in 5 different languages and the weddings are fast, it makes Denmark one of the best countries for a fast and easy wedding in the world after Las Vegas. Around 15,000 couples come to marry every year.