I'm going to stretch my expertise a bit here and say, no, that is not the right approach. For a number of reasons:
- I can't find any distributor selling such a device. N-channel is more common than P-channel, enhancement mode is more common than depletion mode, and 1kV is a higher voltage than most MOSFETs can handle. I see no reason such a device couldn't be fabricated, I'm just not sure anyone has bothered to do it.
- If you need a fast transition from the high to the low voltage, the low-impedance path (the transistor) needs to be on the low side, not the high side.
This will be easier to implement if instead of thinking of it in terms of ground and -1kV, you think of it as ground and +1kV. If you want to stick the +1kV into a grounding rod so you get -1kV with respect to Earth, then by all means go ahead. As long as your power supply is galvanically isolated and the insulation in the transformer doesn't fail at those voltages, it won't make a bit of difference to the operation of the circuit. After all, the electricity can't see the labels on the schematic, so why should you care?
\$R_L\$ will have to be fairly large to avoid being vaporized by the high power resulting from the high voltage. \$ P = E^2/R \$, so if we want to do this with a \$\frac{1}{2}W\$ resistor:
\$ 0.5W = \dfrac{(1kV)^2}{R_L} \$
\$ R_L = \dfrac{1MV}{0.5W} = 2M\Omega\$ (absolute minimum)
This will put a bound on how fast the voltage can rise, since all the parasitic capacitances of the plate, transistor, etc, will resist a change in voltage. \$100 pF\$ is a reasonable guess, giving a time constant of
\$ \tau = 2M\Omega \cdot 100pF = 200\mu s\$
The 10% to 90% time will be somewhat longer, but our 100pF was just a guess anyway, so more complicated math isn't really justified. However, this does demonstrate why you need the transistor on the low side if you need that transition to be the fast one.
From there, it's just a matter of finding the right transistor. Mouser.com has some MOSFETs that could fit the bill. Some are a bit pricey, but would work. You will need a good gate driver to meet your transition time requirements. Power MOSFET Basics - International Rectifier is a good read.
You might also investigate IGBTs. I don't have much practical experience with them, but they are favored in higher voltage applications such as this. I think you can find a MOSFET that will work, but the IGBT might get you better performance at a lower cost.
Here's another thought that doesn't involve transistors at all: your metal plate is essentially a small capacitor. You could wind up an inductor and use its stored energy to drive your plate voltage quite high. Consider what happens when instead of a flyback diode is omitted and the inductor's energy has nowhere to go. Put your plate there instead, and it will go into the plate, driving it to a very high (or low) voltage. It will be harder to regulate the voltage, but you can dispense with the high voltage power supply, and your \$dV/dt\$ will be super fast. If you use a transformer instead of a simple inductor, you can even avoid the requirement of finding a switch or transistor that can block 1kV.