Is it permissible to borrow from someone who takes out interest-based loans from a bank, in order to buy an apartment, knowing the difficulty of securing suitable housing due to high prices and rent exhausting one's income?

Borrowing with interest is forbidden by the consensus of scholars, and is not permissible except in cases of necessity. The need for housing is not a necessity as long as renting is possible. It is forbidden for you to borrow from a friend who will borrow with interest, because it involves endorsing and encouraging what is forbidden. Your obligation is to seek lawful means for housing, or to live by renting. Remember that whoever awakes secure in his dwelling, healthy in his body, and having his food for the day, it is as if the whole world has been gathered for him.