Yes, if you're married to a U.S. citizen, you can request to reopen your case with immigration court, but the judge must agree to it.

You’ll likely need to file a motion to reopen with evidence of your valid marriage and an approved or pending Form I-130 (petition from your spouse).

 If you entered the U.S. legally, and your spouse is a U.S. citizen, you may be eligible to adjust your status (get a green card) once your case is reopened.