Sure, but not under U.S. law.
For the record, this is part of section 13 of the Judiciary Act of 1789:
"And be it further enacted, That the Supreme Court shall have exclusive jurisdiction of all controversies of a civil nature, where a state is a party, except between a state and its citizens; and except also between a state and citizens of other states, or aliens, in which latter case it shall have original but not exclusive jurisdiction."
Now unless the actions of the secessionists in the ACW were in fact a criminal act (got my vote), it was a civil controversy. And since the Supreme Court has jurisdiction, no ordinance or act of secession can withstand that challenge, can it?
Walt