NROTC Question- Graduate School

Recently graduated from the College of William & Mary with a BA degree (GPA 3.47). I have always deeply desired to join the United States Navy, but unfortunately NROTC was not offered at my undergraduate college. Though I do not have issues with joining the Navy as an enlisted seaman, I am hoping to try to commission as an officer. I am looking to ascertain whether it is possible to join NROTC after having finished a BA? In other words, would I be able to undertake NROTC and commission successfully as a graduate student? Unfortunately, not competitive for OCS, so just looking for other options to commission in USN.

Thanks!