Yes.
From the Canadian border to Mexico through the center of the United States you have: North Dakota, South Dakota, Nebraska, Kansas, Oklahoma, and Texas with Texas being Southernmost and North Dakota being Northernmost.
South Dakota is north of Texas.
Due north.
Oklahoma, Kansas, Nebraska, South Dakota and North Dakota
Departing Texas you would travel north to reach South Dakota.
It is farther north than Colorado. It is due north of South Dakota, Nebraska, Kansas, Oklahoma, and Texas. The eastern third of Colorado is south of western North Dakota, South Dakota and Nebraska.
Departing Texas you would travel north to reach South Dakota.
You would travel northeast to get from Texas to New York.
There are 10 Great Plain States: Montana, Wyoming, Colorado, New Mexico, North Dakota, South Dakota, Nebraska, Kansas, Oklahoma, and Texas. Six of these states are, however, part of the Midwest (which is where most people think of first when they hear of the Great Plains): North Dakota, South Dakota, Nebraska, Kansas, Oklahoma, and Texas.
North Dakota is north of South Dakota.
The US state of North Dakota is north of South Dakota.
North Dakota is up by the border of Canada, Wyoming is just next to South Dakota.
If it's a straight trip, you would fly over the Great Plains states, due south through South Dakota, Nebraska, Kansas, Oklahoma, and finally through Texas.