I have two laptops that have exactly the same brand, model and hardware as each other.
Windows 7 is installed on one of them.
Would it be possible to move Windows from one laptop to the other one?
Yes, it is. If it's OEM license, then it's a little bit gray area, as OEM licenses are per-computer, not transferable.
You can either physically move your hard disk or clone your data (and wipe source computer, as you are not allowed to run Windows on multiple machines with same license).
There is multiple tools for cloning disks, including CloneZilla.