Can one COMMIT/ ROLLBACK from within a trigger?

A commit inside a trigger would defeat the basic definition of an atomic transaction (see ACID). Trigger logic is by definition an extension of the original DML operation. Changes made within triggers should thus be committed or rolled back as part of the transaction in which they execute. For this reason, triggers are NOT allowed to execute COMMIT or ROLLBACK statements (with the exception of autonomous triggers). Here is an example of what will happen when they do:

SQL> CREATE TABLE tab1 (col1 NUMBER);
Table created.

SQL> CREATE TABLE log (timestamp DATE, operation VARCHAR2(2000));
Table created.

SQL> CREATE TRIGGER tab1_trig
  2     AFTER insert ON tab1
  3  BEGIN
  4     INSERT INTO log VALUES (SYSDATE, 'Insert on TAB1');
  5     COMMIT;
  6  END;
  7  /
Trigger created.

SQL> INSERT INTO tab1 VALUES (1);
INSERT INTO tab1 VALUES (1)
            *
ERROR at line 1:
ORA-04092: cannot COMMIT in a trigger
ORA-06512: at "SCOTT.TAB1_TRIG", line 3
ORA-04088: error during execution of trigger 'SCOTT.TAB1_TRIG'

Autonomous transactions:

As workaround, one can use autonomous transactions. Autonomous transactions execute separate from the current transaction.

Unlike regular triggers, autonomous triggers can contain COMMIT and ROLLBACK statements. Example:

SQL> CREATE OR REPLACE TRIGGER tab1_trig
  2    AFTER insert ON tab1
  3  DECLARE
  4    PRAGMA AUTONOMOUS_TRANSACTION;
  5  BEGIN
  6    INSERT INTO log VALUES (SYSDATE, 'Insert on TAB1');
  7    COMMIT; -- only allowed in autonomous triggers
  8  END;
  9  /
Trigger created.

SQL> INSERT INTO tab1 VALUES (1);
1 row created.

Note that with the above example will insert and commit log entries - even if the main transaction is rolled-back!

Remember that an "autonomous_transaction" procedure/function/trigger is a whole transaction in itself and so it must end with a commit or a rollback statement.