No. It would be a use of the subjunctive. This is detectable, in modern English, in the third-person singular of the Present Tense, where the subjunctive lacks the -s ending: "It is necessary that he see a doctor." In your sentence, it is 'he obtain' rather than 'he obtains'.
In the sentence:
"My parents have said that he must obtain his bachelor's degree before we get married."
Here, it would be modal + bare infinitive:: must + obtain