No, wheels from a 2001 Impala will almost certainly
not fit a 2009 Impala. While both are Impalas, the body styles and thus the wheel specifications are significantly different. The bolt pattern (number of lug nuts and their spacing), wheel diameter, and offset are likely incompatible. Trying to force them on could damage your car.
You need to check the specifications (bolt pattern, wheel diameter, offset, and possibly hub bore) for both the 2001 and 2009 Impala wheels to be sure. This information is usually found on the wheels themselves, in your owner's manuals, or through online resources dedicated to vehicle specifications.