Depends on what they have been fed. The problem is that organic criteria are very restrictive. The hens that provide my eggs (in the village) are fed only grain from the farm and what they get in the ground. None of the processed stuff. But the soil doesn't pass the organic criteria because of what he uses on his potatoes in the next field (nothing scary, just not organic) so he can't sell them as organic. It's an ideal criteria of course but in practice quite difficult to actually get.
There is a farm near my ILS (next door in fact) that don't use chemicals on their veg or in any of the feed that they give to their ducks. They can't claim to be organic though as the farm next to theirs use certain pesticides and there is cross contamination. Their ducks are yummy, as are their hens' eggs, and not being able to stock up when we go down there is one of the things that annoys me about falling out with the ILs. She makes amazing pâtés too.