Do high voltage low amperage motors exist?
No, there is very little energy transmitted in an electric fence and it is in the form of short pulses. While the voltage is high (maybe 8 to 10 kV), the current is typically limited to about 100 mA for a few milliseconds and the voltage will rapidly collapse if a load is applied.

You would also be looking for a control circuit that could tolerate 10 kV pulses without being destroyed.



See What is electric fencing for some more on the subject.