The order won't matter at all. Finance may borrow some assumptions from economics, but it is not very important. Try to have done introductory microeconomics first, because finance may make references to the 'efficient markets hypothesis.' It also taught 'purchasing power parity' which is an open economy equilibria (macroeconomic), but you seriously don't need introductory macroeconomics to know about it
I studied "Finance 1" in semester 1 alongside "Introductory Microeconomics" and it was all okay. It was nice to study "Introductory Macroeconomics" afterwards: having already learnt about purchasing power parity and the few references the course made to bank loans (interest rates) - although this stuff was commonsense.
Essentially, finance is more about the "time value of money" (interest rates) and calculations involved with it, so even though there is an overlap with economics, it's not important enough to let it inconvenience the order of your subjects.