Dieudonné Saive and Sergei Simonov did, as I'm sure many others. Saive patented what later became FN-49 in 1936. Simonov presented the first protype in 1931, the rifle accepted into service in 1936. Williams made his invention in 1940, or substantially later than either of the previous short-stroke gas-operated rifles. What he invented was different: he invented a gas tappet system.
In a conventional short-stroke design, the gas is vented after a certain amount of travel of the piston. Typically the point at which the gas is vented is regulated. FN-49 featured a fine adjustment, although most modern guns just have "normal" and "difficult" setting, and a cut-off for rifle grenades and the like. In addition, most designs, including early Simonov's and Saive's designs, have the whole op-rod moving the short distance and disconnecting from the BCG somewhere in the receiver.
In Williams' gas tappet, the short travel is limited mechanically and any venting is incidental. In addition, in both W.A.R. and the M1 Carbine, the op-rod is attached to the bolt carrier. Williams thus avoided a need for the 2nd spring that returns the gas piston.