yes, the OPC broke from the PCUSA (which was called the PCA at the time) and tried to call themselves the PCA, but changed it to the OPC. Later the PCA changed to calling itself PCUSA and then you had the PCA arising. In the meanwhile the OPC broke split to form the BPC and later split again to form the EPC
Correction. The PC(USA) was never called the Presbyterian Church of [or in] America. In 1936 the northern Presbyterian Church was called the Presbyterian Church in the United States of America. When the 1936 break away group took the name Presbyterian Church of America, the larger body just didn’t like the names being so close, so they sued.
In 1958 the larger northern body adopted the name United Presbyterian Church in the United States of America (UPCUSA).
The larger southern Presbyterian Church was called the Presbyterian Church in the United States (PCUS). In 1973 the current PCA broke away from that group.
The main body north and south churches joined in 1983 to become the (current) Presbyterian Church (U.S.A).
You can track the history visually here. Warning: It’ll make your head hurt.
