I don't see how. His and other immigration bills allow this - but in law. He's not attacking the substance but the means.
Obama admitted this himself, just last year on this exact same question:
“With respect to the notion that I can just suspend deportations through executive order, that’s just not the case, because there are laws on the books that Congress has passed.” ...
“There are enough laws on the books by congress that are very clear in terms of how we have to enforce our immigration system. That for me to simply, through executive order, ignore those congressional mandates - that would not conform with my appropriate role as president.”
This is also the basis of Rep. King's plan to sue the administration for implementing something that should have required legislative process and approval.
So there's two parts to objection. Rubio is being consistent on the first here. You may disagree, but for him to not take this position would be two-faced.
IMHO, the GOP needs to be consisted in how they attack this - either on its result or on the president violating his limits of power.
First he says he welcomes it then buts his own statement?
We know by his own words that Rubio says he is authoring the Republican Dream Act, but we don't know what it says yet. You can bet that it is another way to appease illegal immigration by putting a Republican face on it. Hello.
So there's two parts to objection. Rubio is being consistent on the first here. You may disagree, but for him to not take this position would be two-faced.
It is double talk.