This game has a unique scoring system. You get 9 lives, and unlimited continues. However, you lose points when you lose lives, and a substantial chunk of points when you use a continue. Things will get easier as you earn XP and upgrade your arsenal. At the same time, when you have massive upgrades like fully upgraded Chain Reaction, you don't get all the points for destroying blocks in one explosion.
So, if you go on a good run, you might make it there on your way to Leviathan or fully upgrading your weapons. There is an exploit you can use if you're all done with everything else:
By the time you beat the game all the way through, you'll be upgraded pretty well. You can hit "Continue Game" after you've beat Leviathan to start from level one upgrades in tact, making them much easier to complete. At anytime in a level, you can quit out, keeping any score you already earned. When you continue your game the level resets, essentially letting you farm points on easy levels.
The exploit is a bit of a grind though, so hopefully you can get this achievement during your regular run.