If you are from another EU country your hunting license may be partially transferable with an additional test. But rumor says they are becoming a lot more stringent in what they will accept.
German hunting licensees aren't easy to come by, It is typically a two year program. They change the qualifications all the time, I've had my license since 1967 so I don't keep up with the current requirements.
"Exceptions are made for foreigners, but not for applicants with a German nationality. Exams passed in foreign countries constitute no legal claim for the grant of a German hunting permit. The question of comparable exam conditions does not matter, but an exam passed at a German examining board is required."