Yes. Once you enter a country that is part of the Schengen area, you can in principle travel without border checks, to other countries of the Schengen area. However, you can only do so for 90 days within a 180-day period.
Iceland, Norway, Switzerland, and Liechtenstein are not EU countries, but they are Schengen countries. You can travel to those countries once you have entered the Schengen area, but your rights related to international or temporary protection may differ.
While Denmark is an EU and a Schengen country, it does not take part in the temporary protection scheme and does not apply the EU rules on Asylum. Therefore, your rights related to international or temporary protection in Denmark may differ from those you have in other EU countries