Ephemeral browser based session

Here's a scenario and an ideal solution I would love to have:

- I want to share files from my phone to another phone.
- I visit `wush.com` and start a session, generating a unique ID.
- I share the link or QR code.
- The recipient joins the session.
- I add the files to session.
- The files transfer directly, peer-to-peer, via the shortest path possible.
- I close the session

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Do you think such a solution is possible ? (say by embedding wush as WASM)