Currently, Snowflake does not have a built-in feature that provides a straightforward, Databricks-like event history for Inference Service ingress URLs. The available service logs may contain some relevant information, but extracting access history details (such as user identity and timestamps for ingress URL access) is not directly supported or well-documented.

But instead, there are other General Logging and Auditing in Snowflake as below:

Account Usage Views, Access History, Event Tables

Account Usage Views: Snowflake offers a set of ACCOUNT_USAGE and INFORMATION_SCHEMA views that allow administrators to track query history, login attempts, user activity, and changes to objects. These are useful for monitoring SQL-based interactions and general platform usage.

Access History: The ACCESS_HISTORY view provides information about which users accessed which data, when, and how. This is primarily focused on data access within Snowflake tables and objects, not external service endpoints.

Event Tables: Snowflake supports event tables for capturing certain types of activity, but these are generally focused on data changes and task executions.