Yes, it may be possible but how you entered the U.S., and your immigration history will affect your options.

If your U.S. citizen spouse files a petition, you may need to leave the U.S. and apply for a waiver before returning with a green card.

If you’re in removal proceedings, you might be able to terminate or reopen your case based on the marriage and apply for a green card.

 If your spouse is in the military, you may be eligible for a benefit called Parole in Place, which can help you adjust status from within the U.S.