If there is a legislated legalization amnesty, then of course they could get green cards. That's what a legalization amnesty is.
Question to Donald Trump: You have said that you want to expedite them the non criminals, the good ones back legally. Would you sign off on a Ryan/McConnell touchback legalization amnesty, yes or no?
Answer: sure. Because “touchback” will require you can’t have broken any laws. Oops. Already did. Sorry, Jose.