Is it permissible to fabricate an untrue story to convince someone to provide me with financial assistance (a loan), knowing that the real reason is the need to see family and settle debts and financial obligations?

Lying is not permissible except out of necessity, and your longing to see your parents is not a necessity that permits lying. However, it is permissible to use ma'areedh (double entendre or equivocation) if it does not result in harm to anyone and the purpose is permissible, such as honoring parents and bringing joy to them. As for borrowing from usurious banks for this purpose, it is not permissible due to the lack of necessity for it. The general principle is that forbidden acts are not made lawful except out of necessity.