Boost converter to high voltages (20 kV+)

I am interested in making a mini, potentially portable ion thruster.

The Question: Is it possible to create a boost converter that takes low voltage batteries ranging from 3.7 V to 24 V and boost that to 20 kV or higher which is continuous voltage (not pulsed)?

The Reason: So far I have used an old 20 kV AC DC power supply to make a ion thruster, but now I would like one that doesn’t necessarily have to be plugged into the wall.

I have looked online and have seen high voltage inverters, the problem is that they are too low in voltage output to be effective (and AC), or they have high voltage output but its pulsed – and I would like a continuous flow.

Thanks and I look forward to hearing your comments!