Yes coons can easily kill your chickens through chicken wire not by getting in, but by catching their heads and eating their heads and necks, happened to me before I got really smart with them.
If you remove a racoon from your environment another one ore two are going to came to your territory. Hiring any services is only temporary solution and a total waste of money. I had racoons killing my hens through 2X4" cage mesh, by grabbing them by necks and...