I do a lot of stuff over a remote jupyter server. I've been using vscode to run notebooks on those servers because it was the easiest way I could find to develop while using copilot, but it's become rather cumbersome and was hoping for a simpler solution.
Thanks for any help y'all can provide!
Not an answer, but too long for a comment.
There does not seem to be as of mid 2022 an implementation.
Copilot uses an underlying tool, OpenAI Codex, which has a model called codex-davinci-002, which can do code completion.
https://beta.openai.com/docs/models/codex-series-private-beta
(it's worth noting that OpenAI also have a model confusingly called text-davinci-002 which converts natural language to code, which is not what we want). It's free but has a beta waiting list. There is a jupyterlab attempt at this called jupyterlab-codex. It may have worked at some point given the search results, eg. https://medium.com/codex/jupyter-notebook-can-do-that-b3185058fe76. So a thing to keep an eye out for is "Jupyter + Codex" in addition to "Jupyter + copilot".
