They oftentimes will support EB2/NIW filings in my experience but to be clear, because of the green card backlogs, almost certainly an EB2 filing won't allow you to stay past your STEM OPT; you will need another basis to live and work in the U.S.
https://travel.state.gov/content/travel/en/legal/visa-law0/v...
https://www.uscis.gov/green-card/green-card-processes-and-pr...