My family's two cats were adopted as young kittens. So young that the female wasn't even weaned yet, and we had to get kitten formula for her--the shelter thought both kittens were eating solid food, but really the male was the only one eating it. Despite being held and snuggled as kittens, neither of them ever became a lap kitty or liked being held (they weren't allowed on the beds, so no idea how cuddly they would have been there).
However, not liking laps didn't make them not cuddly--they adored being petted and would happily cuddle up with us on other terms, like hopping up on the piano bench to cuddle with whoever was playing.* There was just something about sitting directly on people's laps that freaked them out. Hold a cardboard box on your lap and they would curl up purring for ages. One of them liked to crawl in some cloth mesh bags we had and would happily allow us to carry her around the house practically upside down in the bottom of a bag (with no possibility of getting her feet under her if she was dropped), but wouldn't tolerate being held in someone's arms for more than a few seconds. Occasionally we could set her down on our laps while she was inside the mesh bag, and she'd be perfectly happy until she caught on that she was sitting on a lap and she'd immediately try to get away. I think cats are just weird and if you'd like a particular variety of cuddlyness, trying to adopt an adult cat is probably best. Otherwise, you'll probably have to adjust to the kitten and figure out if there is some type of cuddling that it likes, even if it means you end up needing to keep cat-size shoeboxes throughout the house for when you want a lap cat.
*It's a bit challenging to play the piano while a cat takes advantage of you sitting still to affectionately headbutt you in the armpit, especially if you're ticklish, like me and my brother...