No, rims from a 2006 Ford will almost certainly not fit a 1997 Chevy Silverado. Ford and Chevy use different bolt patterns (the number and spacing of the lug nuts), different wheel sizes (diameter), and potentially different center bore sizes (the hole in the center of the rim that fits over the hub). Even if the bolt pattern *happened* to be the same (which is unlikely), the other differences would prevent a safe and proper fit.
You must check the bolt pattern, wheel diameter, and center bore size for both your 1997 Chevy Silverado and the 2006 Ford rims before even considering using them. This information is usually available on the rims themselves (often stamped into the metal), in your vehicle's owner's manual, or through online resources. Using the wrong rims is dangerous and can lead to wheel failure.