Is it possible to run server-replication without a graphics card?

Normally the “unreal engine server” (the replicate) runs on a dedicated server (for example on windows server) or you can also use builds on AWS to do it on the fly.

My question would be, can you run a “server” instance on a non-dedicated system? That is, run an instance via “command-terminal” without running the replicate through a dedicated server. Is it possible ?, to minimize the impact and without having a GPU.
And that customers enter and the game “map / design” is automatically generated

Or is it simply impossible and do you need a dedicated server with a graphics card to render the polygons?

I suppose so. When building from console I get a message from RenderDoc saying that there is NullRHI loaded so I guess that with server build should be quite similar.