I think glass can be loaded with metals and so probably can have a permeability other than 1. Complex permeability just means that there is magnetic loss, so if the permeability is not 1 I think the permeability will always be complex because there will always be some magnetic loss.
Pure glass, no. But may be a doped glass, yes. There are also non-translucent "glassy metals", for example those from Allied Chemical, Inc. And there also exists translucent polymer clay. And the most interesting translucent concrete, whose iron content has been almost totally removed. However, if some iron remains in it, you get some transparency and some color on it.
Thank your for your answer guys. To be more precise, in a lot of cases I am dealing with fibers containing elements like Germanium, Hydrogen, Er/Yb(doping)...
Do you mean optical fibers? In there can happen some interactions between the light electromagnetic fields and an external magnetic field.
Otherwise, the following article looks quite enlightening:
Much More Than a Glass: The Complex Magnetic and Microstructural Properties of Obsidian
Valentina Mameli, Anna Musinu, Daniel Niznansky, Davide Peddis, Guido Ennas, Andrea Ardu, Carlo Lugliè, and Carla Cannas The Journal of Physical Chemistry C 2016 DOI: 10.1021/acs.jpcc.6b08387