Apparently, you shoot 2 questions: 1) the possiblity of hatching a bird egg via a human body, and 2) survival of a chick likewise dependent on the warmth provided by a human body.
My answer to the questions is both YES. The temperature required practically for all bird eggs to hatch ranges from 99 to 100 degrees F. Using the normal human body temperature which is 99.5 F for the purpose is okay. Candle the egg to make sure it is fertilized. Also make sure that the required temperature is maintained, no more no less, if not, the egg embryo will die. Also remember that mother birds turn their eggs at regular intervals to provide even temperature to the eggs, so as surrogate parent do the turning of the eggs likewise as needed. Also when the chick hatches, be conversant as to when, what and how to feed the birdling. It now need more heat and energy for its proper growth and development from the feeds provided it.
The brooding or the contraption for the egg to attach to the human body is quite a problem but would seem quite easy for the individual interested in the experiment. And to repeat, for a successful egg hatching maintain the human body temperature of 99.5 F for the surrogate human parent to brood the egg.