I suspect it would, but I don’t know of an example where it has.
I’m fine going after employers as long as that’s not the only step we take to stop illegal immigration.
There is a strong pull to the US by our welfare system and our medical care. Punishing employers will not stop people who cross the border in order to get food stamps then use them to buy cornmeal and pork to make tamales to sell while waiting to have their baby in a US emergency room.
Trust me, the jobs are what's luring them here. Fine, don't give illegals access to social services. I'm not arguing they should get access to social services. But what's going to happen is they are not going to go after the illegal employers. But Trump will have shown that "he tried" and the problem will continue to exist. Because even Mara Lago hires them. We need employers afraid they'll get caught.
I know exactly how it works. My former boss owns a music school. I knew a wonderful violin instructor from Iran who was here on a student visa. He would NOT hire him. He would not take the chance and lose his business. Why was he so paranoid? IDK but I wish they all were like him.