Not necessarily, the concept of universal grammar is more about the concept of innate grammar that has to be universal for any homo sapiens language, but this e

Not necessarily, the concept of universal grammar is more about the concept of innate grammar that has to be universal for any homo sapiens language, but this empirical observation is more about the similarity of particular languages, many of which are significantly related to each other. For example, if it had historically turned out (or will turn out in some future) that everyone on Earth speaks some variant of English or other Indo-European language; or some variant of Chinese or other Sino-Tibetan, then there would be many features of grammar that technically are universal across the population but that wouldn't be evidence that "universal grammar" (as used by Chomsky) is indeed a thing.