Under normal circumstances, no - it's written there on the card. However if its effect was being negated, then technically yes, it can be destroyed by battle.
When Marshamallon is face-down, and it is flipped by an attack, it has an effect that activates to deal the attacking player 1000 damage. This is a trigger, and Divine Wrath can be chained to it. However if Marshmallon was flipped on a previous turn, then Divine Wrath cannot be used against his 'cannot be destroyed by battle' because it is continuous and does not activate.
Forbidden Chalice will negate Marshamallon's 'cannot be destroyed by battle' effect. Because Forbidden Chalice changes the ATK of a monster, it can be used in the Damage Step, after Marshmallon is flipped by an attack. If you did this, you will not take the 1000 damage from Marshmallon either - his damage dealing effect activates after Damage Calculation, but will be negated.
Athens was not destroyed.
The Great Marianas Turkey Shoot was the battle where the Japanese Navy was destroyed. The Japanese Navy was destroyed in 1945.
The battle that destroyed Hannibal as a threat to Rome was the Battle of Zama in 202 BC.
no. the card's text clearly states that the card can't be destroyed by battle
destroyed by battle or by card effects
zama
destroyed
Destroyed monsters go to the graveyard, including destroyed Fusion or Synchro monsters.
Midway
See website: Battle of Midway