No it's not. There are many different US government measured indexes of consumer price inflation. The linked article discussed CPI-W (used by law to adjust social security payments), CPI-U, chained CPI-U (used to adjust tax rates), and PCE (used by the Fed for interest rate targeting).
https://www.brookings.edu/articles/how-does-the-government-m...
There is also PPI for producer prices, and the GDP deflator used for GDP.
If the US government and law already is using a number of different metrics to account for inflation impacts for different purposes, it absolutely makes sense to debate which particular measure is best for this area.
But there's not one single true number, different groups of people are affected by different measures (e.g. the use of CPI-W for social security payments is thoughtfully meant to be more representative of costs incurred by the typical social security recipient than is CPI-U)