As far as I know, no.
Each database handles this differently.
For example, in Oracle, you must manually create a timestamp with something like:
SELECT (sysdateColumn - to_date('01-JAN-1970','DD-MON-YYYY')) * (86400) AS alias FROM tableName;
In MSSSQL:
SELECT DATEADD(s, yourDateColumn, '19700101') AS alias FROM tableName
In PGSQL:
SELECT date_part('epoch', timestampColumn) AS alias FROM tableName
Edit: as Alexey Kuznetsov noted , there are two completely different ways to use the MySQL function UNIX_TIMESTAMP(). I suggested the latter, UNIX_TIMESTAMP(date)(to convert the original format into an era) for the above answer.