No, data type DATE does not handle any time zone information. Use data type TIMESTAMP WITH TIME ZONE or TIMESTAMP WITH LOCAL TIME ZONE
TIMESTAMP WITH TIME ZONE holds date + time + time zone
TIMESTAMP WITH LOCAL TIME ZONE holds date + time and these are stored internally in DBTIMEZONE (typically UTC). The value is always shown in the current user session time zone SESSIONTIMEZONE.
If you like to convert a DATE to TIMESTAMP WITH {LOCAL} TIME ZONE, then you must tell Oracle which time zone shall be used.
Typically you do it like this:
FROM_TZ(CAST({date_value} AS TIMESTAMP), 'desired time zone')
The cast is required because FROM_TZ requires a TIMESTAMP rather than a DATE
If you don't specify the time zone, e.g. like CAST({date_value} AS TIMESTAMP WITH TIME ZONE) then Oracle defaults the time zone to SESSIONTIMEZONE