The short answer is probably not. Office 97 was made for Windows 95 and 98 users. Vista is built very differently than Windows 95 and 98.
What you can try to do is run Office 97 in Vista's Compatibility Mode. This will allow you to run the program as if you were running it on an older system. The way you set this up is you right-click on the Office 97 icon and go to Properties. From there, click the Compatibility tab.
A screenshot and detailed instructions can be found at http://www.howtogeek.com/howto/windows-vista/using-windows-vista-compatibility-mode/
I'm thinking of getting a laptop from Dell - Inpiron 1525. It will have Windows Vista Home Basic Edition SP1 installed. I use MS Office97 on my desktop and have the install CD for it. Does anyone know if I can install and run this software on the laptop under Windows Vista?