A preinstalled Win 10 from that system reduces the possibility of transferring that license to a new system.
For the actual operation, it will almost certainly need a clean install in your new hardware.
Using the old drive does not matter here.
There are two considerations when trying to do what you're considering, Licensing and Operation.
Licensing - Can the old OS license be transferred to different hardware. In this case, problematic.
A preinstalled WIn 10 is about the only case where it cannot be transferred to different hardware.
But, you can try it.
Read these, and see if you can link that OS license to your MS account. If it does, then it is a "maybe" as to whether you can move it to different hardware.
https://support.microsoft.com/en-us/help/20530/windows-10-reactivating-after-hardware-change
http://www.tomshardware.com/forum/id-3164428/windows-build-1607-activation.html
Operation - This refers to whether the actual drive with the OS will actually boot up in new hardware.
Doubtful. A clean install in the new hardware is always
recommended, often
required.
Prepare for a clean install in the new hardware. Again, this is a different thing than having to purchase a new OS license.
Create your own Win 10 install here:
https://www.microsoft.com/en-us/software-download/windows10
Then,
How to do a CLEAN installation of Windows 10