Change of Employer
To change employers while remaining in the United States your new employer must obtain a certified Labor Condition Application for the position in which you will be employed and properly file a Form I-129 petition. The Form I-129 petition must be approved before you are authorized to work for the new employer. USCIS may consider you to be maintaining E-3 status, following cessation of employment, for up to 60 days during the period of petition validity (or other authorized validity period).
Note: Form I-129 is also used to apply for an extension of stay or change of employment with the same employer.
答案是可以的;有网友可分享经验吗?