Upvote:2
The problem here is that most of the Norwegian mountain hiking area is a high plateau rather than an alpine range, and getting onto the plateau and into the hut network from the west can be arduous. Once you're up, however, you can hut-to-hut more easily.
You might like to look at GRINDEFLETHYTTA. Accessible from the Bergen-Trondheim road before it drops to Gudvangen. (I am sorry that I don't have my maps with me here, and that I have lived in Bergen for decades but am less well acquainted with the highway north of the Sognefjord.)