Originally Posted by Demise

They can via 245(i).

245(i) basically pardons all grounds of ineligibility for AOS found in INA 245(c) as well as ineligibility to adjust status due to EWI since you don't satisfy the "admitted or paroled" requirement under 245(a).

There are other options:
245(k) which pardons unlawful employment or being out of status for 180 days or less as of the date I-485 is filed, since last admission. For instance you can work unlawfully, leave and re-enter (e.g. on the same F-1 visa), and be eligible to adjust.

I-601A waiver.