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Entirely possible. It throws things out of order, and chickens don't respond well to changes.

I have to admit I first thought it was a photo of poop, then I finished scrolling down!

Is that the only sign? DOes she puff up and/or flatten down like a sad pancake if you reach in, or run back into the nest box if you try removing her? Does she making a sort of ticking chirp sound? If you see some of those behaviors, then yes she's likely feeling broody.