No, It Doesn’t

“Oh, yes. The Bible speaks of the Ark leveling mountains and laying waste to entire regions. An army which carries the Ark before it … is invincible.” Marcus Brody (played by Denholm Elliott), “Raiders of the Lost Ark” (1981).

It is worth mentioning that, No, the Bible doesn’t.

The venerated ark does, in fact, help the Israelites cross the River Jordan (Joshua 4), though that surely was practible without it; the ark plays a central, if ceremonial, role in the capture of Jericho (Joshua 6); and it apparently was the cause of sudden death for a man named Uzzah, who stumbled and tried to arrest his fall by touching it (2 Samuel 6). But there are no Bible stories in which the ark levels a mountain or lays waste to anything.

As for invincibility, in one of their seemingly continual conflicts, the Philistines actually defeat the Israelites and capture the ark (1 Samuel 4, 5). Though they get freaked out by it and eventually send it back.