Could dark matter resolve Olbers paradox?
First note that dark matter is not dark in the sense relevant here: it’s dark in the sense that it does not emit light, but it also doesn’t absorb light, since it doesn’t interact with light at all. A better name might be “invisible matter”. So dark matter has no real bearing on Olbers’ paradox. What I think you might mean is “can dust or other opaque stuff obscure distant stars so that the sky need not be bright, even for an infinite, static universe?” The answer to that is no: dust absorbs visible light, but then reradiates it in other wavelengths (such as infrared). The sky would be bright in all wavelengths.
