Random egg

[Skaiya]

Is there a way to get a random egg?
So let's say I put up an egg with a question mark in the adoption section.
You adopt it and have to wait till it's hatched.
Then there are two types of adoptables you can get.
After the egg hatched you'll see what you've got.

Or am I talking nonsense here?

I do know about the Alternate picture.
But since you have to write a description I have no idea if random eggs are possible.