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Not normally. You can save Recovery partition but it likely won't run after clean reinstall to C which is why you should make your recovery disks first.
That's one of the uses for the Recovery disk set, such as when the HD is replaced.
If you can't make the disks you can order them from Acer for shipping costs, or save a Win7 backup image externally which willl reimage the HD using a Win7 DVD or System Repair Disk - which you should make in case Win7 stops booting. Backup Complete Computer - Create an Image Backup
You can also clean reinstall with the Product Key on your COA sticker which is a superior install anyway: Clean Reinstall - Factory OEM Windows 7