Certainly not, but it certainly had a role in the development of the concept and design, especially on the US side of the house. German tactical doctrine made much more extensive use of the submachine gun (MP38/40) and the desire was for a similar weapon with a cartridge falling somewhere between a pistol abnd a primary battle rifle.
The U.S. on the other hand, was not looking at a primarily offensive round, but something for logistics and rear area soldiers which was not as cumbersome as a Springfield or Garand, but had substantially more range than a 1911. In some ways, the .30 carbine was actually the Pederson Device brought forward by about 20 years, and which had been designed for front-line infantry.
I personally like this poster which shows the M1A1, not in the primary lineage of the modern assualt rifle, but in a "weird uncle" kind of role that can not be entirely excluded, either.
