the answer is no, not really.
Typical twin jet airliner, the generator is 115V 400Hz AC
and it is run off an accessory drive pad through a CSD or constant-speed drive.
A CSD is sort of like an automatic transmission. The driven side runs a hydraulic pump which produces pressure to operate a hydraulic motor, the torque of which spins the generator. While sampling the generator's frequency output it also spins the outside of the ring gear part of the planetary drive either "forward" or "backward" to increase or decrease the output speed - hence the frequency.
Result is that it can only keep the frequency within the desired range at a limited engine RPM range. Lets say the frequency range is 400 + or - 20Hz for a particular plane. Most CSDs will do much better than that, but the engine will have to be operating at maybe 4000-12000 N2
RPM to yield the required frequency. Outside that range and the aircraft electrical system monitoring system will drop the current offline. Most jet engines don't windmill at high enough speed.
I could imagine a DC generator in direct-drive staying on line, on the other hand.
Happiness is not seeing another trite Ste. Maarten photo all week long.