I don't think you can get the green card on your own but it's better to consult an attorney to be clear

Yes, you can apply for an EB-2 National Interest Waiver and apply for a green card.

The National Interest Waiver (NIW) is a provision under the EB-2 green card, which has a different process from the regular EB-2 visa. Getting a National Interest Waiver means that the requirements to find a U.S. employer and PERM labor certification processing will be waived for qualified applicants. This means you can sponsor yourself by submitting your petition directly to the USCIS without being sponsored by an employer.

An L-1B holder seeking an EB-2 NIW green card must prove that waiving the PERM labor certification process would be in the interest of the United States.