We do have plans for a programatic API for managing Aura databases, which could include the ability to trigger backups. But that second part will likely be limited to our Enterprise offering, not Professional.
Currently, our Enterprise tier takes snapshots automatically every hour. So if you need backups run more frequently than once per day we'd recommend upgrading to that tier. If you're interested in doing so we can have one of our Account Executives reach out to you. Just let us know, and give us a good contact method for them to reach you.