Not really. There is minimal evidence that high-top shoes decrease risk of ankle sprains vs low-top shoes. If your doctor or therapist notices high arches or flat feet, orthotics may be helpful to improve foot and ankle alignment. When shoe shopping, I recommend trying different shoes on, spend a little time walking or running in them if possible, and then purchasing the shoes that you feel are the most comfortable and that will work best for you. There are shoes that increase your risk of ankle sprain, though: flip flops. Cheap flip flops that have no support around the foot and ankle should not be worn when recovering from an ankle injury (or ever, but that’s a lesson for another day).