It is not. Dodge is not a block card, is a movement card (i e blue). It does not block damage, just moves you - and if you're still in range of the attack, you take damage.
To add to what Pengu1n said, War Cry will discard all cards that are Blocks. These can be identified by their green card background. Dodge is half blue (movement) and half orange (boost), so it is not discarded by War Cry. The difference between Dodge and, say, Hard To Pin Down (a Block card - half blue, half green) is that you must end up out of range for Dodge to negate damage, whereas if Hard to Pin Down triggers you will take no damage no matter where you move.
