In zero dimensions (often known as matrix mechanics), it is possible to have supersymmetry, but have no superpartners, but this is the only example where supersymmetry does not imply the existence of superpartners.
In zero dimensions (often known as matrix mechanics), it is possible to have supersymmetry, but no superpartners. However, this is the only situation where supersymmetry does not imply the existence of superpartners.