Visiting Naerum Allotment Gardens and Brøndby Haveby

I'm considering visiting Copenhagen in June for the Design Festival (from the US). I am an obsessive gardener, before I get my hopes up- am I able to visit the Naerum Allotment Gardens and Brøndby Haveby? Just to walk respectfully along the public paths and see the gardens? Are there ever tours?

I was able to visit the Amstelglorie allotments in Amsterdam when I was there last year and it was really a highlight of the trip!

p.s. sorry our government is such an asshole :(