Yes, but there are no hedgehogs or hedgehog-like species who are native to Latin America so they have to settle ones from overseas.
That's true. But Sonic's world consist of regular animals, as seen in badniks or around the Savanah Citadel and Cool Edge, as well as higher sentient beings of animals that Sonic and his friends are a part of which, for convenience’ sake, we'll call Mobians.
So while mobians tend to identify as animals, as Sonic identifies as a hedgehog, doesn't mean they live in countries or environments expected of their animal-counterparts. Therefore, culture and history around them may not be same to humans or animals.
Though, if Echidna culture was inspired by various world cultures, it doesn't really make sense why Knuckles' Clan was based on Aztec culture while the neighbouring Sandopolis Clan was based on Ancient Egyptian culture. The Aztecs were Mesoamerican, which is ancient South America and Egypt is located in North Africa. That's roughly 12,000 to 12,300 kilometers apart from one another.