Definitely agree with the concerns about water... they can get by without food for a little while, but no water = death.
Also water evaporates (depending on your waterer that can be very little to a lot) and food can get stolen by rodents or get wet and moldy. If someone is coming by to get eggs then I think it's fair to also ask them to check on food and water. Even a set up as simple as a large dog bowl for food and one for water, that your egg-picker-upper can just dump food (as needed) and water into each day, can work.