Yes, but the normal procedure is to start, stabilize and then close the switch.
Some loads may not like to be brought up slowly.
I would not be surprised by a lot of refrigerator failures.
A typical small hermetic unit bleeds off the differential pressure and typically starts up unloaded.
Once running it has a lot of dependency on the flywheel effect to carry it through the reciprocating torque pulses.
With a slow start there is a danger that the diff pressure will build and stall the motor before it is going fast enough for the flywheel effect to become effective.
Of course the internal thermal protection will ALWAYS protect a stalled motor, until it doesn't.
A caveat, if the only load is a motor that is too large for the gen-set to start, it may be possible to start it by connecting it to the set and then starting the set.
This will provide an effect similar to a VFD. Both the voltage and frequency rise together with very little starting surge.
This may require the controls to be fed from a UPS, and a PMG may have to be bypassed with a non PMG AVR powered from a UPS.
If there are other loads in addition to the motor they may be connected after the motor starts.
Bill
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"Why not the best?"
Jimmy Carter