No. Eggs are totally fine unless a hen goes "broody" and tries to hatch them. Just gather all the eggs everyday and don't let them try to hatch any out.
Oh thats cool. I didn't know that! I have learned so much through this journey that I knew nothing about. This whole backyard chicken experience has been so informative and fascinating. Now what if in the future I move to a more spacious lot or extend the run. Will the chickens hatch their own eggs if I leave them in the coop with them? I live in florida so it stays on average around 80° inside the coop. And 75° outside the coop.