Does the rule "necessities permit the forbidden" apply to a young man who fears his studies will be interrupted due to military service, and who finds no money to complete his education except by borrowing with interest?

Usury is one of the destructive sins. Allah has threatened those who engage in it with war, and the Messenger of Allah, peace and blessings be upon him, cursed the one who consumes it, the one who feeds it, its scribe, and its two witnesses. Usury is not permissible except in a state of necessity that threatens one's life with perishment or extreme hardship. Completing studies and working abroad are not necessities that permit usury. One can deal through permissible methods such as Istislam (forward sale), Murabaha (cost-plus financing), or Tawarraq (monetization). If the training will expose you to hearing insults against Allah, delaying prayers, and abandoning fasting, then it is obligatory to strive to be rid of it. If you are compelled to participate in it and these prohibitions occur, it is permissible to borrow with usury if no other means are available to escape them, provided that the necessity is present and not merely anticipated, that there is no other way to avert it, and that the extent of the necessity is observed.