No.

South Dakota has a relatively low number of cicadas compared to other states in the Midwest and some in the East that host periodic broods.
Cicadas, which make a continuous and buzzing noise that can be as loud as 100 decibels, are found (and heard) in the late summer months in parts of South Dakota.
But the cicadas that appear in the state are the annual species, which is the most common. Annual cicadas have an average lifespan of 1 to 5 years, but some can spend more than a decade underground.
Periodical cicadas, which are found in other states east of South Dakota, appear in numbers up to the trillions nearly annually in 13- or 17-year intervals.
Occasionally, the 13- and 17-year broods emerge at the same time, leading to an even larger population for the summer. South Dakota does not have periodical cicadas.
This fact brief responds to conversations such as this one.
Sources
AZ Animals, The geography of cicadas: Which states experience the most emergence?
CBS News, Cicada maps show where the noisy insects will emerge in the U.S. this spring
SDSU Extension, What’s buzzing in the trees?
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