It's doable, you would need a driver that can handle over 600V, a transformer, an oscillator and a small input regulator to drive the oscillator and driver. An IRG4PF50WPBF is rated for 900V and can handle a lot of current. A 555 could drive it (you want push-pull with IGBT's and MOSFETS). The input regulator is a little tricky, you are going to need to build a discrete series-pass regulator, there's nothing like a 7815 or LM317 that's rated for a 600V input, but the saving grace with is that the output current is tiny - just a few milliamps is all that's needed to drive a cmos 555 and an IGBT. Even so, it is going to burn off several watts.
Ebay occasionally has 600V to 110V transformers, you want to nab one of those, this is going to be the most difficult component to lay your hands on.