Do people with club feet need special shoes?

Not When Corrected. Under therapy, maybe. Once corrected- no.
Yes. Clubfoot is a condition usually due to a birth defects causing the feet to become deformed. Depending on the age of treatment, casting is often the first line of treatment followed by bracing and then surgery to realign the foot. Bracing and shoe modifications are usually needed after treatment to accommodate for the residual deforomtiy.