Можете. С сайта посольства:
Подскажите, получена виза на 2 года в США, но срок действи паспорта уже истек и офрмляется новый паспорт, могу я въехать в США с 2 паспортами ( старым с 2-ой визой) и новым ( без визы).
Q: My passport has expired, but I have a valid non-immigrant visa in it. How can I get a new visa into my new passport?
A: This is not necessary. The United States Department of State and the Department of Homeland Security consider that the U.S. nonimmigrant visa that has not expired or been cancelled is valid, even if the passport in which it was placed is either expired or cancelled.
Any traveler having a valid visa in an expired passport and having a new valid passport, is welcome to enter the United States carrying both passports. Such travelers will be admitted, barring any other ineligibility, at any time prior to the date of the visa’s expiration. It is not necessary to obtain another visa in the new passport.