You can cover the chicken coop wire with 1/2 inch hardware cloth - just make sure to securely fasten it. Just because you have not seen any raccoons, foxes, stray dogs - does not mean they are not there. And now that you have chickens, everything will look for a free chicken dinner.
Welcome. I commend you for the space your are providing. However, I really think - as @DobieLover says, 1/2 inch hardware cloth is needed with an apron. You provided so much space for your chickens - you don't want any predators to be able to get to them. 1/2 inch hardware cloth is the only way.