Yes. The square mile has been a financial centre since the 16th century (possibly earlier): https://en.m.wikipedia.org/wiki/City_of_London
You seem to be implying that the presence of finance institutions in the 16th century supports the OP's thesis. That predates the industrial revolution, so obviously mere presence of financial institutions is not any kind of sign can't mean there's a "transition from manufacturing to financial engineering". If anything, those financial institions are a prerequisite for a rapid industrialization.