If you're worried, don't feed it, but PLEASE, don't cook it! Cooking destroys and degrades all the fresh, lovely nutrients that make raw-feeding so healthy (and cooked bones are dangerous!).
If you think the fish is generally healthy/edible for human eating, you can, in small and infrequent meals, feed it to your cat(s).
I, personally, only rarely (except for the once a week sardine) feed fish because it can be problematic; cats evolved in the desert and despite all the pretty commercial packages with pics of fish on them, they didn't evolve to eat fish and, as often as not, will have some kind of allergic reaction to them. Too much fish (with "too much" being specific and different for every cat) may cause urinary tract issues, and many fish have toxins and heavy metals in their bodies that are not at all good for our cats bodies. The larger the fish, the more likely it is to be contaminated in some way.
Also, unlike most fresh meat, fish has a strong flavor and cats can sometimes become addicted to it.
So, the technical answer is, yes, you can feed the fish - including the bones - and your kitty may well enjoy the meal. Just don't do it frequently and watch out for possible allergic reactions.