will chicken, duck, or turtle eggs hatch in heated water?

No. Eggs actually exchange oxygen and carbon dioxide with the environment through microscopic pores in the surface of the egg. Eggs that are submerged in water can't exchange gasses at a reasonable rate, so essentially the embryos drown. ...hope this helps!

There are microscopic pores in the egg shell for breathing. Submerging an egg in water will drown the embryo even though the temperature is adequate.

Not it will become a hard boiled egg. Sorry... yet delicious.

They would do much better just in a warm box, or in the case of the turtle eggs, in warm sand.

I doubt it. It sounds like you are gonna hard-boil the egg which would definitely kill the animal inside