I guess it could, but it contradicts completly the Airbus design philosophy. In spite of being highly electronically based, Airbus aircraft never do something themselves! You might be surprised.
Example: If you have an engine failure, the software could easily do everything for your, Rudder deflected, MCT set, Master off, ...
Boeing in 777 for example does automatic rudder compensation in case of OEI (if I'm right). Saab does automatic APU start. MD-11 is extensively automated when it comes to switchings in the hydraulic and pneumatics (to replace the FE from DC-10).
Airbus' intention is, if you take the pilot out of the loop, he doesn't know what's happening anymore. That's why you have to brake yourself. And you can revers one engine and go on TOGA on the other. The system is completly pilot-oriented.
Dani