Is supplicating for provision to pay off debts, when one is unable to work, considered an transgression in supplication? And is lying to creditors to delay imprisonment a sin?

If all of your partner's money is from usury, then it is not permissible to partner with him, because money is specified in the case of someone whose wealth is unlawful, and what happened to you might be due to this partnership. However, if his money is mixed, then partnership is disliked but not forbidden. Sincere repentance expiates sins. Your supplication for the repayment of debt and the relief of distress is permissible and not an transgression in supplication. If you are unable to repay your debt, your creditors must grant you respite, and your imprisonment at that time would be an injustice. It is permissible for you to lie to escape it, while resorting to alluding and equivocation if possible.