First of all, what TYPE of kingsnake is it we are talking about, and how big is it?
Many kings do forage on different types of eggs in the wild,....turtle eggs, lizard eggs, other snake eggs and ocasionally bird eggs they can get to. I doubt your snake will look at the store-bought quail eggs as food because they don't have the natural scent of the mother bird and the nest any more. However, you can scent them with rodents or chicks and it will likely go for them. I would only supplement them with a few now and then though, and not offer large numbers of them all at the same feeding just in case.
Use some common sense and make certain they are thoroughly thawed to room temps first too.
~Doug
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"a snake in the grass is a GOOD thing" 

serpentinespecialties.webs.com

"some are just born to troll and roll"