I think it's worth noting that "this legal order is unconstitutional therefore I won't abide by it" is still illegal to do in any constitutional democracy that I know of, even if you're ultimately right, including in the USA. You can abide by the order and then seek reparations, but you can't claim something is unconstitutional like that.
Obligatory IANAL and speaking from an American perspective.
You certainly can, but it usually takes the form of defying the order and appealing to a higher court for a stay pending trial and then hopefully and eventually a reversal of the order when hopefully it is indeed found to be unconstitutional or otherwise illegal.
