If you are asking...whether you can install another hard drive as a storage/secondary drive...the answer is yes, provided you have the proper connectors for it on your system...and the jumper settings are proper (if it is a PATA/IDE drive).
If you are asking...whether you can install the second hard drive and have the O/S on it work in a different system as part of a dual-boot...the answer is...not likely.
I suggest running a disk diagnostic on the hard drive...before assuming that it is functionally sound. The apporopriate diagnostic may be downloaded from the website of the hard drive manufacturer.
Free Hard Drive Testing Tools - Hard Drive Diagnostics - http://pcsupport.about.com/od/toolsofthetrade/tp/tophddiag.htm