I thought most people would say no, and that was my gut instinct too. But having googled it like GP there do seem to be some convincing arguments that luck is a factor.
To quote someone from the 08 thread: "luck is success in regard to the consequences of random chance".
Now all that happens in a game of chess is a sequence of moves. Surely players do not pick moves at random? Now that I think about it, from time to time I do. Not completely at random, blindly reaching for a piece, but what if I think of two equally good moves? Usually there is one move that I feel strongly is 'the best', but sometimes I just can't decide. I have literally flipped a coin to decide on a move before.
Now I can't see 20 moves ahead, what if one of those moves led to a certain win and the other to a certain loss? The outcome of that game would be partly down to chance. Now I admit I very rarely flip a coin, but I am often in the situation where I have two or more available moves and I have exhausted my reserves of logic to decide between them.