if you find out that you are eligible for unemployment benefits in Norway, then you may be able to transfer your rights to the danish A-kasse system, and in this way obtain right to benefits in Denmark in an easier way.
You can read our article about transferring periods of work and insurance from another EEA Country here:
But as you say you are not at the moment member of A-kasse or similar in Norway.
For being eligible for benefits in Denmark one of the requirements is that you have been member of an A-kasse for at least 1 year.
You will not be able to get benefits here in Denmark according to the special favourable rule for graduates, based on your bachelor degree. This requires that you were living in Denmark prior to starting the education and also again right after finishing education.
Graduates do not need to have been member of an A-kasse for 1 year before claiming benefits.
You can reply if you need more information.