Sure... setup the copy in a .bat file.
Use the scheduler service to run the .bat file, and enter the credentials there, not in the copy command.
Robocopy is your friend.
MyCopy.bat:
C:\path\robocopy.exe \\Server1\share\ D:\sharecopy\ /E /R:0 /NP > C:\Copylog.txt
Check the end of the log for the results. Look for count of Missed files.