I did learn somewhere, don't exactly remember where though, but a small percentage of Pheasant Chicken hybrids can reproduce. I think it's linked to a certain gender, not sure if it's the male, or female hybrids.
It's an interesting subject, nonetheless.
Pheasant chicken hybrids are actually pretty common to find in Asia, but don't know tons about them.
Ring Neck Pheasants apparently lay blue, or green eggs.
Found this, which supports the asiatic portion of the article.
https://microbewiki.kenyon.edu/index.php/Genetics_of_Egg_Color_in_Chickens
But can't find anything else further.
Yeah, it's hard to find good information on this subject. But I can try looking for more, though it'll be difficult.
JungleFowl are considered Pheasants, though maybe talking about a Pheasant colored chicken. But things like this aren't very clear.