Yes, that's a Bodyguard.
I guess this is a good place to tell my story...
When I was deployed to SEA for a tour in a denied country in 1966, I was told to purchase a weapon of my choice. I chose a S&W Model 39, bought it at Kmart, I think, for around $80 I think. My Model 36 was $64, but I knew we could use Swedish submachine gun ammo in a 9mm, which was available upcountry. The gun was put on my orders, and I took it with me. Carried it in a shoulder holster I got somewhere, and slung an AK-47, flying in Air America "whatever is available's" all over the country.
Wish I still had it. It was stolen from my house one night when my brother had a party while I was out drinking.
AC