yes and no, for cats, most of the hunting seems to be instincts and trial/error. as soon as our kitten was old enough to go out, she started bringing back mice and birds and rats and voles and squirrels almost daily. and yes i know its not the same species, but you should give animals more credit. when it comes to instincts, never underestimate them
My understanding is that a lot of animal behaviors are instinctive, but not quite in the way most people understand the term. As I understand it, animals (and to some extent people with language) have a set of behaviors that they are predisposed to learn given an opportunity to do so during a crucial period in their development. In other words, given a chance to hunt or play-hunt during kitten-hood, a cat will become a pretty decent hunter even without learning from mommy. It won't necessarily be as good as a kitten raised by mommy, because mommy probably picked up some tricks she can pass along.
If a kitten doesn't get those hunting instincts exercised during kitten-hood, it gets difficult for them to learn to hunt as adults. I remember when one of our house cats (a big tuxedo cat) encountered tame rabbits. The first time it was a docile little rabbit. The cat pounced and knocked the rabbit down. The rabbit looked up at him like "what are you doing?" and the cat stood there obviously wondering what to do next. Finally it wandered off. I would have stopped it if it had actually started to hurt the rabbit, but it was pretty obvious the cat had no clue what to do.
Same cat ran into a huge (probably 25-30 pounds) and rather aggressive rabbit my step-daughter was keeping for a friend. The rabbit jumped out of its cage and chased the cat around our basement. It was pretty obvious that both animals figured the rabbit could kick the cat's butt. A wild cat that size could have probably taken the rabbit, though it would have had its hands full. This sounds like an oxymoron, but that was one formidable rabbit.