Yes. You could place a new hard drive into your rig and restore from your time machine backup without issue.
Actually, that is exactly what I did. A full restore from my Mac Pro. However, this caused my machine to not shutdown properly and sleep did not work either. Screen went off, fans and power LED stayed on (no external USB powered devices attached, HD 4000 onboard graphics, Wake on LAN off etc..).
A virgin install (instead of a full TM restore) seems to have done the trick. Currently using Migration Assistant to migrate profile and apps over, after which Sleep and Shut down hopefully still work...(no reason why not).
UPDATE: Migration Assistant finished, I deliberately left Settings out, and checked Applications and User profile, as well as 'Other files and folders' (25GB worth...) on HDD. Now the issues with Shutdown and Sleep are back. :-(
Will try this again, now leaving 'Other files and folders' out and see what happens.