Yep, feeding the chicken raw is absolutely fine and will save you a fair bit of time I imagine!
About the fish you feed, is it completely cooked? I ask because: "An enzyme found in all raw fish, called thiaminase, can destroy vitamin B-1 (Thiamin), leading to neurological disorders accompanied by a general physical wasting due to loss of appetite. This enzyme can be destroyed by cooking the food, which however reduces overall nutritional density of the food itself as well."
Taken from
Of Cats and Fish - Cat Nutrition Facts from Feline Future
So if you feed fish more than once a week make sure it's cooked
