As the folks above me have said- NO.
You may only only acquire a handgun- either private sale or from a dealer- in your state of residence. Some folks DO have more than one "state of residence"- such as active duty military, snowbirds, etc.
This is Federal law, and applies to all states- covered in 18 US Code Section 922. There IS an exception for inheriting a firearm, and if you have an 03 C&R FFL, you may acquire a C&R handgun in any state.
What we have here is... failure- to communicate.