Yeah definately the older the egg the easier the peel.
When eggs are just laid there is a tiny airspace, that airspace gets larger with time making the peeling process easier.
We originally got chickens because I tired of my over easy eggs having broken yolks
We then realized that fresh eggs are impossible to peel.
No worries, the ones sitting on the counter for near a week or those in the bottom of the fridge get turned into pickeld eggs/egg salad now
"Fresh" Eggs at your local supermarket can be a month old