Yes, if you only count "federal government employees" https://fred.stlouisfed.org/series/CES9091000001

But this neglects the millions of contractors and other positions that are also funded by government spending, which is harder to measure, and does change more over time.

https://www.brookings.edu/articles/the-true-size-of-governme... (2020, but the article doesn't clarify if the 5m includes short-term census workers)