Volumetric clouds actually do this by shadowing the skyatmosphere, the documentation has a beautiful example of it:
Unfortunately I find the effect is actually pretty subtle in practice.
It also requires you use expensive settings for the clouds, and I find you really need to double the max shadow resolution (from 2k to 4k) in order to capture any meaningful detail. I wouldn’t really even consider this for a realtime application (unless you have a huge budget for clouds… like a flight sim or something)