Can You Beat Devil May Cry 4 Only Using Guns?

Gun enthusiast have been asking this for decades. Rules: Only aloud to use guns on enemies. Using the grapple or sword to progress through a level without using it on an enemy doesn't count. No items. No gold orbs. No hamsters. Devil May Cry 3 Gun Only -    • Can You Beat Devil May Cry 3 Only Using Guns?   Devil May Cry 5 Gun Only -    • Can You Beat Devil May Cry 5 Only Using Guns?