If you want to go original, you can use some parts '58 to '64, but other parts will be more specific to a '62. Some parts you would need to get used, others new/reproduced or rebuilt. I'm not sure about any other interchanges, personally.
-Parting Out over 75 '58 to '73 Full Size Chevy Cars-
-National Impala Association
-Vintage Chevrolet Club of America