No. Zeno does not currently let you export every chat in a workspace at once. You can export each chat separately as a Word document (.docx).
Export an Individual Chat
Select Activities in the left sidebar.
Select Chats to show chats only.
Find and open the chat you want to export. Use Type to search... if needed.
Select Export in the top-right corner of the chat.
Zeno downloads a Word document containing the questions and available answers from the selected chat.
Important Points to Note
You need to export chats individually.
Uploaded or attached files are not included in the Word document.
If Zeno is still working on the chat, wait for it to finish before selecting Export.