既然有合法身份，只要同时满足居住等其他要求，应该可以延期美国驾照，Virginia 的 William & Mary 大学对此有详细解释 [来源]。
William & Mary 大学的说明
If you are graduating, but not applying for OPT or AT (or it has not yet been approved), or if you are a scholar and your program is ending, you can extend your license or ID card for your grace period.
You have a grace period (60 days for F-1 students, 30 days for J-1 students and scholars) where you can legally remain in the US after your I-20 or DS-2019 ends. You can renew your license or ID for this period, but DMV will not extend it if your grace period ends less than 30 days from when you apply.
J-1 students and scholars: Renew your license/ID card by the date your DS-2019 expires, as your grace period is 30 days after this.
F-1 students: Renew your license/ID card at least 30 days before your grace period ends.
OPT: If you applied for OPT but do not have your OPT card, you can also apply for a 60 day extension of your driver’s license or ID. When you receive your OPT card, you can apply for another extension of your license/ID card for the length of your work authorization.
Valid passport with F-1 or J-1 visa (even if it’s expired)
You will receive a letter from the Registrar’s Office with proof of completion of your studies (letter from the Registrar’s Office). You will receive an email when it is ready, so that you can pick it up, or you can have it mailed to you. Letters will be available a few days before or after graduation.
This letter must have an original signature, and must be from someone with the title 「Registrar.」 It must say that you have completed degree requirements. Please use the form template above, and do not request an emailed or faxed version, as the DMV will reject scanned/faxed copies.
VIMS students can submit this form during our Sowers House office hours, 1:00-3:30pm, first and third Thursdays of the month, or can email them to Emily.
Undergraduate exchange, Law exchange, and ELP students: Your letter will be different. Request it here:
Click on International Office in the menu on the left-hand side.
Then, click on DMV Letter Request (Non-Degree Students) and complete the form.
对于 F/J/M 签证的留学生和访问学者，学业结束后的 60／30 天 grace period 内仍然是合法身份、可拥有所在州驾照，但以 Virginia 为例，需要在宽限期结束前至少 30 天提交延期申请。建议联系你所在大学的国际学生工作处，看他们是否能提供详尽的指示。如果不能，带齐你的身份文件（I-20/DS-2019 等），以及申请／延期驾照所需要的其他所有文件，到所在地的 DMV／MVA 咨询或办理，ask to speak with a supervisor if necessary 。