Giacomo Jacques BeharImmigration AttorneySan Diego, CACA licensed ·
In theory yes, but your marriage-based "green card" application will be the only "true" (and immediate) "green card " or "adjustment of status" ("AOS") to permanent residence application (which, if done right the first time will get approved within 3-5 months), whereas your employer's will still only be the first two stages of the "employment based permanent residence petition - and not the I-485 AOS which can only be filed by you : the PERM LCA, and ensuing I-140 petition to USCIS once that PERM is approved by DOL, both of which could take years to complete.
You can concurrently pursue the employment-based or the family-based route to the permanent resident status. Whichever of the two routes puts you in position for the adjudication of the FORM I-485 is the route that you will ultimately choose.