Not directly. However, if a business has been running for over one year, the executive or manager can petition for a green card/permanent residence without having to make an application for labor certification. Such applicants should meet similar qualifications as those under the EB-1C green card category.
However, there is a catch. The EB-1C requires you to work for one year in the company’s foreign branch in the three years leading up to your green card petition. If you have spent the last three years in the U.S. under the L-1A, you would not qualify. However, if you have been working in the foreign branch for at least a year and you transfer directly to the U.S. branch under the L-1A, you will be eligible to apply for the EB-1C for the next two years afterwards.
Sources- USCIS official website