If you're asking "will an egg laying Pokemon hatch their eggs", then no. You have to get the eggs from who owns the Pokemon and you have to run around so it'll hatch.
Eggs never come out of eggs--what are you talking about? The purpose of an egg is to protect something soft that is not an egg, so that wouldn't even make any sense. Gently, gently... This may be...
Either cardboard or Styrofoam cartons will help protect the eggs from breaking and insulate them somewhat from cold and heat. When packed tightly in shipping crates the cartons reduce the bumping and...