nej.
Du måste dock resa till USA med ditt amerikanska pass.
Från Officiell ESTA-applikationswebbplats :
Do I need to apply for an ESTA if...?
I am a U.S. Citizen with dual citizenship in a VWP country?
U.S. Citizens are not required to have an ESTA and are required to use their U.S. passport to travel to the U.S.