Yes, you can coat eggs with food-grade mineral oil or paraffin wax and bring them camping as these strengthen the eggshells, prevents breakage, and increases the quality of eggs.    Make sure to keep the eggs cool by surrounding them with ice packs.   According to a study published by PubMed, fresh refrigerated chicken eggs were coated with food-grade paraffin wax or mineral oil, or Whey Protein Isolate (WPI) which increased the shelf life of the eggs beyond 6 weeks and also increased the vitelline membrane strength by 14%.