Ninja; I am in the process of doing just that. A fellow in Cedar Rapids, IA, had a 1911 he put up for sale. I contacted him, we agreed on a price. I sent him a certified check, he took the pistol to an IA FFL holder.
This FFL holder sent my (by now) pistol to a CA FFL holder, who took down all the info exactly as if I were purchasing a pistol from the stock of the CA FFL holder. I am waiting for the customary 15 days, and then will pick up my pistol.
The usual fee for this is about $10-$20, and it is perfectly legal. Walt Welch