No, Corporal York was an NCO. He was ISSUED his 45 auto.
When I was a youngster in the 50s I recall going on Memeorial Day to the little rural Kansas cemeteries where some of the kinfolk were buried and putting flowers on their graves---including my GG Grandfather who was a Civil War veteran of infantry---three years 1861-64 and then two more years, 1864-66 in the US navy on river gunboats and in the Gulf.
I am certain tho that the article did say that he did not have the .45 through legitimate channels.