No, crossbow bolts cannot kill someone wearing plate armor. Let alone smaller ones that don't require a windlass.
What they could do was hit a knight in gaps between plates (like you would with a dagger or a pike - the logical way to kill a knight). It's still not known if the "many French knights were felled by crossbows at Agincourt" claim is true, but given how they tripped, collided, trampled each other, broke formation and fell into the mud during the battle, the most plausible hypothesis is that the knights were merely suppressed by a hail of crossbow bolts, suffering from reduced visibility/battlefield awareness as they hunkered down to prevent splinters and lucky hits from going into their eye slits or bouncing up into their necks, only for their horses to be hit. They fell over each other and were swiftly killed by footmen.
Regarding plate armor, by the end of its evolution, it could even stop early musket/arquebus projectiles. Many lords and kings actually had their armor tested against projectiles before purchasing them to make sure they would not fall prey to these devices. Even if a bolt punctured plate (like, say, on the gauntlet) , it still had to go through a layer of linen from the gambeson underneath, and that's if the target wasn't wearing a hauburk of riveted maille between the gambeson and the plate. All of that considering that it simply doesn't ricochet off the armor in the first place. They didn't wear this stuff just to look cool.
Crossbows were infamous against knights because of how quick and easy it was to train the common soldiery to use them, unlike a regular bowman, whose training, as the saying goes, "begins with his father". This made it easy to suppress knights with a hail of bolts in combat, preventing them from running amok on the battlefield as they pleased, killing footmen as if they were playing Dinasty Warriors. It was banned by the church along with bows and all missile weapons against Christians, not simply because they were especially deadly, but because they were considered a heinous method of killing (so sayeth the butthurt knights who grew up on melee).