Shalom and thank you for your question! You ask a question which shows sensitivity. There is no prohibition in Halacha, Jewish law, regarding eating chicken and eggs together, regardless of quantity.
I can see however, why you would suspect there might be. Nevertheless, the lesson of mercy conveyed by the prohibition against killing a calf on the same day as its mother, and not cooking meat and milk together is apparently enough.
Eggs in their initial stage by the way, are not a fetus. Many people think that the yolk is the beginning of a chick but this is not the case. There is in fact a snall cell which develops when heated, and this can be by means of an incubator as much as a live hen… The yolk becomes the nutrients for the chick when it develops.