Hello Claudia,
I had the same idea but unfortunaetly i didnt find a solution.
What i can do, is sharing all the walkarounds that suited my app for a similar goal.
I found quite useful Airtable’s Automations
In my case when a record was created, i decided it was easier to send an automatic mail to the user.
A second solution that i found useful was using IFTTT.com , a powerful tool that links a big number of other tools. I already use IFTTT for Airtable, but i’m sure you can find some viable side solutions for push notifications.
Hopefully you’ll find what you are lookinf for here, if not you have your back covered.
Hope it helps.