Only if you can call an endpoint (webhook) that runs Python/your script. You would do this with an automation script using javascript, not Python. But, beware, pyairtable is a library for client-side scripting, not [specifically] server-side scripts. It might work if you can create a Flask server.
I think Pro or better allows you to use the Airtable API.
If your goal is to use data from Airtable to create a web app, you might want to take a look at Streamlit.