Yes, absolutely no problem. Different users have different user settings, like printers, mapped network drives and so on. So if there are different accounts on one machine (JoeUser, BillyIdol, etc.) then they all have completely different user settings. If JoeUser has mapped a drive (non-elevated) then it's not visible in the BillyIdol account. But if a drive was mapped elevated then an elevated running application can "see" that drive mapping from all current and future accounts.
Your customers only have to launch, say, the command prompt elevated ("run as administrator") and then enter something like:
net use H: \\server\share /persistent:yes
This will then map the drive in an elevated context.
Friedrich