No, but this is close and along those lines.
And at least from 2005 to 2010;
Now these stats on firearms thefts are two separate things so no overlap, but at least I see something like 74,000 stolen from FFLs and an approximate 450,000 for the same time frame from home thefts.
At least we can say that the majority of gun thefts are from homes, and home thefts decreased steadily over the years from 1994 to 2010. And that brings to light this;
The National Instant Criminal Background Check System, or NICS, was mandated by the Brady Handgun Violence Prevention Act of 1993 and launched by the FBI on November 30, 1998.
The NICS didn't actually go into effect until '98 and thefts of firearms from the home had already been in steady decline since '94 and through 2010. Make what you will of it but it looks either inconclusive or ineffective. But it sure makes NICS checks look good if you forget that they didn't go into effect in '93 with the passing of the Brady bill.