Yes, but there is, legally, no gun registry.
The federal government is actually barred from compiling a registry of guns and gun owners from 4473 reccords (those gun transfer background check forms you fill out) by the Brady Handgun Violence Prevention Act of '93. 
Section 103 of the same act is supposed to prevent the federal government from creating a registry from the NICS check that is called in, or recently web submitted with a 4473. 
So again , while it wouldn't terribly surprise me to find out that the federal government had been breaking the law, legally there is no federal registry of firearms or firearms owner. Period. 
Furthermore, there is no such registry compliled by the state of AK. And creating such a registry would be for the Feds, illegal, and for the state, ill advised