From the point of view that it would be the last resort to eat the fish from the tank in the room, then yes i would. Hopfully it's something substantial like a large stingray or catfish, or perhaps large goldfish or koi. I wouldn't see the point in trying to eat small community fish like neons or guppies.
But from a similar thread a while back, apart from what the fish tastes like, think of the meds we use to treat the illnesses in the fish, most are poisonous and carcinogenic to humans. So if the fish did feed you for a while, you may die as a result of eating the fish!