Multiple connections to a share by the same user from different machines

I am running a post OS install vbs script which connects to the server to copy a txt file down to C:\.  We end up having many computers, sometimes 100+, connecting to the server within minutes of each other using the same user credentials to copy this txt file.  I've noticed that sometimes I the computer get an access denied error, they cannot get the file.

The actual vbs code is:

oFSO.CopyFile "\\" & sServerIP & "\ImgScripts$\file.txt", C:\Windows\

Is there something on the server that may prevent so many connections to the same resource by the same user within a few minutes of each other?