Nope. That was the earlier Walther PP of circa 1929, thepoliezipistole, usually found chambered in the 7,65mm Browning/.32 auto cartridge, though .380 and .22LR versions are pretty common.
The P.38 was indeed the first 9mm Parabellum double-action handgun to be adopted for military service. And a surprising number still soldier on here and there in odd corners of the world.
Thanks for the correction my friend!