Sure they can. Their goal is to totally eliminate civilian gun ownership. They want (and I quote Atlanta's former mayor, a member of HCI's board of directors, the late and unlamented Fat Fu*k Jackson) "A society where only the police and military are armed."
Anything that erects a barrier to gun ownership just advances their cause. Waiting periods, background checks, gun rationing, FOID cards, etc. don't afffect crime in the slightest, nor are they meant to. They simply add more barriers for citizens to own guns which is exactly their intent.
Just as an aside, his late corruptness spent $490,000 tax dollars annually on his personal security detail. So his fat hide was protected by the Atl police department at great expense to the unprotected citizens in Atlanta.
I say we "eliminate" gun control. And those that advocate it as well if need be.