No, a computer could not a drive a car.
A computer could be used to process the software written to take in all of the parameters from the sensors recording every aspect of the cars physical state and produce appropriate parameters to be fed back into control systems that make the car move.
I know that seems pedantic, but there's a huge gulf between the OPs question and what actually would happen, to the point where the original question is moot and needs to be rephrased so that it reads "could a human design the software algorithms that would process the raw data from available sensors and covert them into appropriate results for currently available control systems".
In which case, I would have to say yes, a computer simulation could perform better than most human drivers, this is going on the success of automated control systems for aerospace applications.
However it is also likely that the human counterpart would always be able to adapt to the point where they can beat the system, unless the programmer allowed for the possibility of the cars destruction due to reckless (i.e. when it's uncertain whether a control result will cause the car to crash or get through a corner very quickly) driving, or not.
In short, no probably not, but never say never!