No, there is no way to check the log of an app from a dashboard or from the outside world.
You can get the link to the log of one session, but each http endpoint call creates a new session.
The logging system has been redesigned recently, and I think we will have APIs to interact with the logs, hopefully they will come soon.
In the mean time I have my http endpoints logging to a datatable and I have an app that shows me the logs. In one logger app I have logs from mutliple Anvil apps and other tools, so I can filter the sessions and keep an eye on the activity.
Here is an FR that I posted some time back: Dashboard that allows checking all the logs of all the apps
PS: Welcome to the forum!