Depending on the size of which you refer to as nano, this question could have different answers. However, there are experiments in the quantum information processing community (for instance at Princeton) where a superconducting resonator is coupled to semiconducting quantum dots, sharing the same substrate. However, the resonator in this case has a resonant frequency around 7 GHz, which makes it a macroscopic object.
If you refer to a single nano-sized device, I would be surprised if you could observe both superconducting and semiconducting behavior at the same time.