Yes, maybe. For that to work, I guess you'd need the concepts (rooms etc.) to be similar enough, so that you can convert the control messages in a way that makes sense, and you'd need the media formats/chunking to be close enough.

It's not going to work 100%, as the Twilio API can do stuff that Jitsi doesn't (e.g. the choice of video being transferred p2p or via the server).

But if you're going to do that, then you're using Jitsi mainly for media transcoding/multiplexing. So maybe it would be easier to use that code in Jitsi directly and write a new API layer, rather than writing a shim above the existing API.