I don’t think so, in e-verify you need to specify if you’re a citizen, and if you’re holding a…
Insatiable Beast
1

The post mentions very specific scenarios and combination of documents that would be needed for someone to achieve the end goal. Selecting “US Citizen” on E-Verify isn’t listed as one of them.

One could select “Alien authorized to work in the US” or something similar and then present documents from one of the lists satisfying the requirements — the end goal is to verify employment authorization and not necessarily citizenship/immigration status.