No, because the buried wood would decompose. Decomposing wood releases its stored carbon as carbon dioxide, which will slowly evaporate through the covering dirt.

One scheme that actually would work is to convert the wood to coal, then burying it. That could be done without adding any energy by using old-fashioned methods for charcoal burning.

https://en.m.wikipedia.org/wiki/Charcoal_burner

Because charcoal is chemically inert, the buried charcoal should stay put for up to a few hundred years,rather than a couple of decades for the decomposing wood.