It is definitely solvable (I just now beat it again on Cutthroat to make absolutely sure nothing had changed), but you have to think in a "Home Alone" sort of mindset. You cannot just pick up all the stuff then flip the switch and get them. When it comes to water jars, you need to have those mostly laid out prior to them even emerging (unless your reflexes are super good).
Key tip: never completely block off a passage with the water. If you do, then they'll all pile up on the far side and you've basically lost. I mean, it is recoverable if you do that, but you'll take a lot of damage and quite possibly die.
Second key tip: notice that there are several places there there is a north route and a south route for them. This can be significant...
Third key tip: If the home alone route isn't completely working for you, bear in mind this: any dead that find themselves stuck in the thin water die immediately. Sometimes you can get more than one, or sometimes you can get a single recent dead in more than one hit this way rather than the normal multiple hits. Doing this at least a few times helps things along quite a lot. And if you're right in front of some deads that are stacked a bit on top of each other... wow big payoff from one water jar.
Fourth key tip: Be very careful that you never miss with any of your matches.
Hope that helps!