At the moment not with the web ui.

You could trigger a job run via the API.

But you still have to write a script (python, bash, ...) which does the evaluation of the event and calls the api.

I think in time Databricks will add this functionality, it's only logical.

One solution is also to write custom connector in logic apps. Once you will create API calls in postman to run a job in databricks you can upload postman library to logic apps so then it will be triggered by event of your choice.

Please use our Job API https://docs.databricks.com/dev-tools/api/latest/jobs.html