Yes. Anyone who files a green card application, either through marriage to a US citizen or on other grounds, may request a temporary work authorization to legally work in the US while their green card application is pending. You should file Form I-765, Application for Employment Authorization, together with your green card application package to receive employment authorization as soon as possible.

The USCIS will send you an Employment Authorization Document (EAD) within approximately 4 to 7 months of the date that you filed Form I-765. Your EAD will allow you to work in the US until a decision on your green card application is made. If your green card application is approved, you will be able to work without an EAD, since a green card carries with it the right to work. If your green card application is denied, you may no longer use your EAD even if it has not yet expired.