yes. that is the short answer. when you ship to military members you are using an APO/FPO address and it is considered by our mail service as a US address. HOWEVER....you will have to fill out a customs form.
some tips on shipping stuff to the military: 1. what you ship will be exposed to heat. 2. it will probably not be shipped in a pressurized cabin if it is flown. 3. it might be opened and checked 4. it will not be handled gently.
when i ship stuff to military addresses, i seal it in a couple of heavy duty ziploc bags, then i pad it top, bottom, and sides with newspaper. anything that might spill i wrap up well with duct tape. i label the outside with the contents in several places. this might keep them from digging all the way through your wrapping if they can see what it is and it looks like it matches your description.
i also put a "hi honey" note in with a description of what i have sent and a little info. something like 'hey buddy, thought i'd send you some honey from our hive'......
the military is not intentionally obstructionist with the mail, but because of increased security concerns they do check more than they used to.