Good question. The hydrogen atom does have unpaired electrons, but the H2 molecule does not and is diamagnetic. “Standard” solid hydrogen is a molecular solid so it is diamagnetic as well. Liquid H2 is also molecular and should be diamagnetic as well.
I am not really familiar with metallic hydrogen but it would have metallic bonds and delocalised electrons, which can only be the 1s electrons. So the hydrogen atoms would not have any localised electron left, so no (orbital) magnetic moment.
So yeah, I don’t think hydrogen is magnetic in any of its pure forms.
