[2022] Can zombies attack chests?

Zombies can break anything. Chests included. Don't put chests anywhere a zombie can reach them; Or if you do, don't store anything important there.

To be clear, they will not Prioritize chests over attempting to reach the player. But they will absolutely break a chest if it impedes their progress.

There isn't anything in the game zombies cant break except the trader zones.