In Short NO.
you cannot move an operating system from one computer to another unless they contain the exact same hardware.
and even then windows may require re-activation.
you can easily configure 2 different physical HDD's to be the OS drive for the SAME PC (laptop or desktop)
e.g. standard spindal drive & SSD
you will need to either ghost / clone the spindal drive to the SSD (if its big enough) or do a fresh install on the SSD