No. The only commands issued by farmr client is chia farm summary for farmer stats, chia wallet show for wallet balance parsing and chia show -c to count how many peers are connected to your full node. It does not use Chia's RCP servers, therefore it doesn't even need your private key.
This project is open-source, so you don't have to trust me. Read the code yourself :) Besides, every binary is built by a github action and signed with a GPG key.
You can see the data that's currently tied to your discord ID with !chia api
Your wallet address is not sent to the server so your data remains anonymous (that is, except being linked to your discord ID).
Simple, stop using it. All data will be deleted 15 minutes after your client sent its last report.