In some cases, Geocodio might return a different census tract or census block from the one returned by the U.S. Census Bureau geocoder or the FFIEC geocoder, which uses the same data as the Census Bureau Geocoder. And in many cases, Geocodio will return a correct result when the U.S. Census Bureau will not. To understand why that is, we need to look at how the data appends work.
The U.S. Census Bureau geocoder appears to be using address range interpolation geocoding, which means that locations are geocoded to the street rather than to a building.
This can create inaccuracy as tracts and blocks often are divided by streets. This can put the geocoded locations very close to census tract and block boundaries, often overstepping into a neighboring boundary.
Looking up the White House in Washington D.C. (1600 Pennsylvania Ave NW), the U.S. Census Bureau geocodes the address just outside the Census Block boundary.
This means that the incorrect bock (1036) is returned instead of the correct block (1031).
The short answer is no.
The longer answer is that even if we disable rooftop-level (high accuracy geocoding) we cannot guarantee that our geocoded location will be the same as the one from the Census Bureau. This is because there can still be significant differences in how locations for address range interpolation are geocoded.