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I imagine it could but that could because any inductive or capacitive load turning on and off has the potential.
It also depends on how well the device is designed - what sort of suppression it might contain etc..
What is the situation you are concerned about?
If you had done some research beforehand you would have realized that ordinary hair dryers are built with AC motors of the same type used by your ceiling fan, so there are no extraneous noises. Also, as it is a 'brushless' running motor there are no spikes - at least there shouldn't be in a continous form ( prehaps at the switching off ). Still, even if there were any kind of noise, it would not be that high, as the back-electromotive force of an inductive load is of the same value as the voltage applied by the power bus, so the peak would be ( if that were the case ) twice the mains peak voltage.