Yes,but don't exactly expect to be working in the accounting sections, doing accounting work. You would need at least an accounting major to participate in most jobs at the big4, but you may get into something like risk management or transaction advisory (?), either way if you aren't doing an accounting major focus more on the big 4 banks(or government), where more jobs lay with an economics major (I'm assuming). There's already more then enough accounting major students applying,which you mean you would need to show a much higher effort for them to train you from scratch(i think big 4 firms still advertise for non-accounting backgrounds?).