Earlier quoted context omitted.
> My gut response would be yes I'd guess no, since there doesn't seem to be another human culture / civilization that independently invented it.
Go is a pretty generic game that leans heavily on basic mathematics and geometry (which are universal). You really think it could only be invented by humans? Why?
The intention of the GP was - given that Go was not invented again on Earth, there's no real indication that it would be invented again at all. That doesn't imply that it cannot be invented again because it is too complex.