No. Musket balls had far, far better armour penetration than crossbows, which in turn penetrated better than longbows. A longbow arrow's force is restricted by the strength of the archer, far more so than a crossbow drawn by a windlass, or a musket powered by explosives! The longbow's great advantage was its fast rate of shots and physical and psychological damage to lightly armoured foes - as in, most of the army. Early guns were wildly inaccurate and sometimes exploded, but far more destructive to armoured foes if they hit.
Describing the longbow as a "murder machine" has another problem, and that is arrows' relative lack of stopping power compared to bullets. An arrow, once it has hit someone, usually lodges in the wound and the long shaft blocks bleeding. A bullet is not nearly as polite, and leaves an open hole with the bullet inside for much more bleeding. Musket balls were still survivable, but they tended to bring down enemies much quicker if they hit. Remember that Henry V got hit in the face by an arrow and survived, only losing some teeth. Not exactly a murder machine. There are also many accounts, especially from Arabia, of people losing eyes after being hit by arrows there, including one warrior, Abu Sufyan, who lost both eyes in separate battles. Notably, these arrows did not go straight through their eyes and into their brains, and most of them survived. Again, not really a murder machine.
Arrows were deadly and dangerous, but bolts hit harder than arrows, and musket balls hit harder than bolts. If longbows had made armour so useless, it would have been discarded much earlier than it was.