Not really. It was the very clever placement of the archers on the battlefield Henry had chosen when he goaded the French into attacking that was the key to the battle. The French basically charged into a muddy funnel and became a crowded struggling mass of men impeding their own progress. If the battle had taken place in the open on solid ground the knights would have rolled through the archers like they weren't there, late medieval plate steel armor was largely impervious to slashing and piercing weapons.
And the race for deadlier weapons continues on.