Yes.
This can be done on the local level by pressuring local politicians to do so.
I've lost all confidence in politicians or our enforcement agencies having the guts to do anything about this problem. Much as I despise the plaintiff bar, I'm ready to consider passing laws that allow private parties to sue employers of illegals. If the employers come under attack by hordes of litigation privateers, it'll remove much of the incentive to hire illegals.
There is a restaurant near me that closed on the morning of that "Be Kind to (illegal) Immigrants Day" (or whatever) and I will never step foot in there, and am letting them know why.
We need to participate more, complain less.
They already exist and we're already in process. As I've stated in the past, the way to attack illegal immigration is not via criminal prosecution (or lack thereof), but through the civil courts.
Plaintiff class-action attorneys may fund Democrats, but in the end, they're really entrepreneurs looking for the next 'big thing'. Foster pioneered extending RICO as a civil procedure - right now there's a mad rush in the legal biz to figure out how to get a slice of the coming illegal alien litigation pie.
Think about who's going to be sitting in the jury box - a lot of pissed off Americans. No one has to prove intent (the criminal threshold) - only damage.