Cupped tires do not and cannot cause death wobble on a vehicle.
However the cupped tires can cause bad vibrations and shimmies with the vehicle and also might make your steering wheel shake.
If your tires are cupped the car could have a misalignment which needs corrected as your vehicles tires will wear out faster.
Death wobble in a vehicle can be caused by several different things such as unbalanced tires, loose components, improper alignment of steering components, worn shocks or steering damper, and/or anything bent or broken related to suspension and steering.
If you continue to experience death wobble in your vehicle it should be checked out soon so that the issue can be fixed.
More severe damage to your vehicle can happen if the death wobble is left unfixed.