Yes, most of us with chickens have discovered them eating styrofoam, silicone caulk, and one time I had a hen snatch a bandaid off the back of my leg and swallow it. It appears they can do this with no ill effects.
However, do keep a watchful eye out for any chicken behaving "off", slowing down, not wanting to eat but wanting to drink copious amounts of water. This could indicate a clogged digestive system. If that happens, give a teaspoon of oil and massage the crop.
But I don't think you'll see any ill effects from this ill advised culinary impetuosity.