Yes, it is possible but it is not particularly easy.
Getting the two Twitter tokens is fairly simple but you then need to do oauth1 calls to the Twitter API to post.
We used both Webtask (nodejs) and then a server side plugin to do this.
Trying to do it in native bubble is pretty difficult.
I can probably turn the server side plugin into a public one … But I won’t be able to do that until the new year now.