You realise that Emperor Penguins pretty much do this already?
When the egg is hatched, it cannot touch the ground or it will instantly freeze and the chick will die. So the female lays the egg onto her feet, where she holds it until she transfers it over to her partner, who will hold it on his feet for the weeks it takes the female to walk back to the ocean and replenish her energy reserves. When the chick hatches, it will spend the first few days (weeks?) of its life on its parents' feet, still never touching the ground, before it is old enough to venture out itself.
Evolution comes up with some pretty weird solutions to hard problems. :-)