Can recruits allowed to own their own firearms on base, or take them with them when they are deployed overseas

I was looking into getting AFCS 1A7X1, Aerial Gunner Apprentice. And I was looking at getting stationed at Kedena over in Japan. I know for a fact that you cannot own a firearm in Japan, but if I was based over in Lackland in Texas, could I legally own a gun on base?
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