Uh yes? Yes it absolutely does. It's actual science that we covered it in school in like, year nine biology. That's how a child can be born with green eyes when both parents have blue, or how in certain families a red-head always seems to pop up out of seemingly nowhere every couple generations or so. Like gosh, even today I was at a friends place, and they said that her mum was born blonde, while neither of her (yes, biological) parents are. Skin colour is no different. So long as a trait is carried in the genes, it doesn't have to be recent, it can still be inherited. It's uncommon sure, but it still happens. 

I actually have several traits myself that I inherited from my Great Grandmother, that neither my parents nor Grandparents have. One is that I have natural red and blonde streaks in parts of my hair, while both parents have just brown and black, and my Grandparents had dark hair, too. One of my uncles, inherited actual red hair, while again, his parents (my Grandparents) both had dark hair. (Edit: I also have MUCH paler skin than either of my parents. Thought this might be useful to add since your argument was specifically about skin colour, even if it works the same way).

Think of it like a big genetic lottery. The more recent a trait is, say directly from the child's parents, the more entries it gets in the lottery, and hence there's a higher chance of the kid getting those.  On the other hand, the further back in a family tree a trait is, the less entries it gets, but it still goes into the draw. It unlikely you'll draw one of the entries that has less, but it's certainly still possible. It's just science, hon. Do your research next time. :P