Yes - that's the key - lending should come from real savings which involve delaying consumption.
We have fractional reserve banking which allows credit creation. The bank is permitted to lend out the money while only holding a portion ready for depositors. In theory those depositors could demand all of their deposits this afternoon, and this would be a bank run and could bankrupt any bank in the developed world on any day. This is why some people (eg me) think the financial system is very precarious and could blow up tomorrow or could blow up 20 years from now - the difference is psychological. In 1800s England under this system they had a financial crisis every 10-15 years.
The alternative (in my view) is full-reserve banking. In this model, when a bank promises to pay your deposit immediately, they are required to actually hold that money available for immediate redemption. Failure to do so would result in the assets of the bank (or to go back to the original joint-stock companies, the personal fortunes of the bank's directors) being seized to make good on their obligation. Consequently lending can't come from funds that are promised to immediate payment. Banks would instead need to borrow for the term of the loan they intend to make. So I would buy a 30-year certificate of deposit, the bank would lend those funds out to a home buyer and I wouldn't be entitled to demand my money back for 30 years.
Another name for this is maturity-matched accounting.