It wouldn't make too much sense to run a distributed raft-based SQLite system in its entirety in a browser (via WASM). However, you can run an individual SQLite instance in the browser (via WASM) using this: https://sql.js.org/#/
Cause that's a single node, this is made for clusters. Maybe what you are looking for is a replication of another data? What use case would you have for multiple browsers syncing over a network?