Well for Go to not exist anywhere in the universe there'd either have to be no aliens, or no aliens that enjoy games, or something along those lines. So long as there are some aliens and some aliens that enjoy games, Go and other relatively simple abstract board games do seem like they should inevitably be reinvented many times over across the universe.

Hell, maybe there's aliens that don't enjoy games per se but that use them for other purposes, like deciding legal guilt or who gets to rule.