The only time as a teenager I ever did anything like that was when I was 17, sick as a dog, but wanted to watch Doctor Who with my dad, like we did every week, and could barely sit up. And even then, more leaning against than lying on top of. I act like a ***** when I get really sick, and all I want is someone to take care of me. Even now... although now it's more staying in bed all day with the cat, then phoning my dad and asking him to bring me soup... and he does, because he's wonderful, then he feeds the cats, and checks in with me regularly to make sure I'm not dying.
But if that's a regularly occurring thing at that age... a bit creepy. Of course, there aren't a whole lot of details there, so I could be missing some key facts, and it may just be innocent affection... I mean, I'm pretty **** close with my father, even well into my 20s, we don't "cuddle," but the way it's described here is too vague to really pass judgement.