There are some instances where the USSC does have original jurisdiction but I'm not sure what they are or whether this matter would rise to that level.
In general, SCOTUS has original jurisdiction in cases where one states sues another, or when a foreign government is suing one of the states. Article 3 says:
"In all cases affecting ambassadors, other public ministers and consuls, and those in which a state shall be party, the Supreme Court shall have original jurisdiction. In all the other cases before mentioned, the Supreme Court shall have appellate jurisdiction, both as to law and fact, with such exceptions, and under such regulations as the Congress shall make."