No. You might be able to run Linux from an external drive, but not Windows. While technically possible, it's a violation of the license agreement, ergo illegal.
I'll also mention you seem to have a broken keyboard on your new laptop. It seems the caps lock key is stuck, or something is causing it to put everything into all caps.
HELLO ALL I HAVE A LAP TOP RUNNING WINDOWS VISTA HOME PREM. AND I DISLIKE IT WITH A PASSION.IS IT POSSIBLE TO LOAD AN EXTERNAL HARD DRIVE WITH ANOTHER OPERATING SYSTEM AND RUN XP FROM THERE?