Space Chaff
Radar is slightly shorter wavelength than radio waves but the blocking principles apply. Chaff is used by the military to obscure targets from radar - for example a plane targeted by radar will release chaff to blur its outline and allow it to escape. Chaff as used by the military is made of lightweight metallized strips.
https://en.wikipedia.org/wiki/Radar_jamming_and_deception
Mechanical jamming is caused by devices which reflect or re-reflect
radar energy back to the radar to produce false target returns on the
operator's scope. Mechanical jamming devices include chaff, corner
reflectors, and decoys. Chaff is made of different length metallic
strips, which reflect different frequencies, so as to create a large
area of false returns in which a real contact would be difficult to
detect. Modern chaff is usually aluminum coated glass fibers of
various lengths. Their extremely low weight and small size allows them
to form a dense, long lasting cloud of interference. This cloud is
unfortunately only effective in the range cell that it occupies. The
slow movement of the chaff (compared to a flying target) makes it
easily discriminated, based on the lacking Doppler shift. Ships on the
other hand can benefit greatly from a slow moving chaff cloud. The
cloud is released within the resolution cell of the ship, and moves
with the wind in one direction. The ship then escapes in another
direction.
For your purposes, your space chaff need not be lightweight because it is floating around in space. A field of angular metallic crystals would be a way to achieve this. I think ice can block radio waves. In any case, radio waves entering this field would echo crystal to crystal, blurring to incomprehensibility. It would need to be big to obscure a whole civilization - perhaps in a ring around the star or even a (more densely packed!) sphere encompassing their whole solar system in the way the Oort cloud encompasses ours.
https://space-facts.com/oort-cloud/
Idea is that there is a asteroid/debris field between us and Alpha Centauri that could form asteroids?
Typo in there somewhere? $\endgroup$