TimeStamp Column Auto Update Upon Insert and Modification
Here is a list of automated features you can use to accomplish this, without using Triggers:

Temporal Tables - System versioned copies of the user defined tables that track changes.

Change Tracking - Automated tracking of changes for your user defined tables.

Change Data Capture - Keeps track of DML changes to the specified user defined tables.

Audit - Automatically tracks a multitude of actions at the server level.