Like in the other comments, you can drink distilled water as long as you only drink a "normal amount".

It's still an interesting thing to know, that you actually starve when drinking large quantities of distilled water (well, in theory since you have other stuff in your body that enriches the water with minerals anyway).

Through osmosis the cells on your mucosae will try to equalise the mineral content between the water and themselves. But since distilled water has no minerals they will take in so much water that they burst.

If you would drink liters and liters of distilled water, the cells responsible for taking in minerals will all be gone and you starve long-term.

Short-term you die from organ failure anyway, with your body desperately trying to keep in the minerals. This is the same as the good old water intoxication. Just that you reach that threshold faster with distilled water.