When a "superball" is dropped, can it rebound to a

hightgreater than its origional hight?

The superball cannot rebound to a higher height than its original height because that would go against the laws of energy conservation. For it to bounce higher than its original height, that means the potential energy acting on it is higher than the one it had been dropped with originally, and that energy must be an external one. However, it should be noted that if the superball is thrown downwards with an extra energy, then it can rebound higher than the original height.