No. But you can do it with Naginata because of Japanese dev logic.

you can use naginata behind a shield because it's in the 'spear' category, lucerne is a 'halberd'

its a big spike on the end, dummy.

There is a hammer and a spike but unfortunately we can only use the spike :(

No lol

It should but I don't think it does

just to clarify since people don't know much about historical weapons, this weapon was likely NOT primarily used for piercing historically. the idea that the lucy was a "can opener" is a bit off. you see you would use the pointed ends only against chain links and gambeson to leave crippling wounds, but against heavy armor the spikes become a problem, they could pierce the armor for sure, but your weapon would also get stuck in the metal and it would be hard to remove and continue wielding. for this reason the hammer head was employed more in order to dent the living hell out of metal armor and break bones of the wearer. Furthermore, when it comes to dealing with Gambeson the spikes and penetrative power would not be as effective as a spear or a sword, thus it is a niche multipurpose weapon that excels in dealing with the full plate + two hander combo with spikes to use against lighter armored foes.