No. South Dakota is not a nation-state because it is subject to the laws of the United States.
South Dakota also does not have people who are from one particular national group since South Dakota has citizens from multiple cultural backgrounds. South Dakota also has several Native American tribes which, even though they have their own borders on the Indian reservations, they are still subject to the laws of the United States.
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South Dakota
The US state of South Dakota is south of the US state of North Dakota.
The US state of North Dakota is north of South Dakota.
Yankton, South Dakota is on the border of South Dakota and Nebraska as are North Siuox City and Dakota Dunes, South Dakota. Big Stone City, South Dakota is on the border of South Dakota and Minnesota. Lemmon, South Dakota is located on the border of South Dakota and North Dakota.
South Dakota did not have any 'colonial days' because South Dakota was not a colony. South Dakota was part of the Dakota Territory, so South Dakota had 'territorial days'.
North Dakota is up by the border of Canada, Wyoming is just next to South Dakota.
It is an analogy. North Carolina is to South Carolina as North Dakota is to South Dakota.
South Dakota's origin means how the state of South Dakota got its start. South Dakota was a part of the Dakota Territory. South Dakota became a US state in 1889.
North Dakota is north of South Dakota.
HAIL SOUTH DAKOTA HAIL SOUTH DAKOTA
The state of South Dakota is south of North Dakota.