Depends if you believe in fate or free will. Some might argue that life as we know it is sheer randomness. Some might think that everything was meant to be. This question is too philosophically nuanced to answer.
Butttt, no **** random bounces effect the game of hockey more than basketball. The puck isn't a sphere, and there is no out of bounds. That's like saying pinball requires less skill than connect four because pinball is more random! Poppycock
It's not just random bounces, think of the following things that may happen:
Net knocked off (doesn't exist in other sports)
Player loses stick (doesn't happen in other sports)
Player injured and play continues (don't think this happens in other sports)
5-10 extra tips go your way over a season (much bigger difference than say the NBA where individual scores matter much less)
Player's equipment change hinders his game (exists to an extent in other sports, but there isn't as much total equipment)
Penalty calls consistently don't go your way (although game changing calls do happen in other sports, penalties really alter the game beyond what other sports have to go through, although I suppose balls and strikes would be similar enough)
Those are a few variables that one could list to show how much different Hockey is from other sports, we can envision all sorts of weird timelines, i.e from the Toronto perspective:
A Seguin, Hamilton present....who's coaching/GMing and where did our young studs go?
A Leafs beating Boston present...same question as above, wtf happened after that?
A Sundin/McCabe trade at the deadline post lockout for 1sts....what the hell would that look like
Although you can do timeline creation with all sports, the variables within the game that really are difficult to control are so much greater in Hockey.