Can you define what system testing means to you?
As per my information:
system testing or end to end testing would be performed after functional testing and integration testing are successfully performed. the requirement which you have mentioned sounds to me like 'Functional Testing'. System testing in my opinion refers to a 'System' rather than a functionality like 'Copy'
Final stage of the testing process should be System Testing. This type of test involves examination of the whole computer system. All the software components, all the hardware components and any interfaces.
The whole computer based system is checked not only for validity but also for met objectives.
It should include recovery testing, security testing, stress testing and performance testing.
Testing of copy function is Functionality Testing and not system testing.