ここを読む限り、

https://www.cbp.gov/travel/us-citizens/automated-passport-control-apc
Who Is Eligible to Use APC?

U.S. and Canadian passport holders and international visitors from Visa Waiver Program countries are eligible to use APC kiosks. Visa Waiver Program visitors must have Electronic System for Travel Authorizations (ESTA) approval prior to travel and have visited the United States on at least one occasion after 2008.

米国自動入国システムの要件は、
1) must have Electronic System for Travel Authorizations (ESTA) approval prior to travel
2) have visited the United States on at least one occasion after 2008
の2つだけなので米国自動入国システムで手続きできるでしょう。

私の解釈であって、保証ではありません。念のため。