There are a couple of extensions that might help you:
PipelineDB[1]: Their “Continuous Views” could be useful. A big caveat here is that PipelineDB’s future is uncertain[2], though.
I haven’t used it myself, but it looks like you could put triggers onto your existing tables to insert data in PipelinedDB “Streams”, then build whatever continuous views are needed around those streams.
The other is TimescaleDB[3], which has “Continuous Aggregates”, but they are fairly new and currently have some limitation.
Steve.
[1] https://www.pipelinedb.com/
[2] https://www.pipelinedb.com/blog/pipelinedb-is-joining-confluent
[3] https://www.timescale.com/
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