Nope. From the Pilot-Controller Glossary dated 090827:
RUNWAY HEADING− The magnetic direction that
corresponds with the runway centerline extended, not
the painted runway number. When cleared to “fly or
maintain runway heading,” pilots are expected to fly
or maintain the heading that corresponds with the
extended centerline of the departure runway. Drift
correction shall not be applied; e.g., Runway 4, actual
magnetic heading of the runway centerline 044, fly
044.