Can I shift into the cooler jobs?

I really want to break into a cool job in high finance (like management/ strategy consulting, quant, IB, PE, VC, portfolio manager/ buy side investing etc.). How possible is it for me right now? It seems going to a target school is the highest likelihood path.

I’m 27M in NYC, with a BA and MA in finance from a good school outside the US. I have 4 years working in big 4 risk advisory (A->SC) working in model risk management, modeling and other financial risk. And now 2 years as a VP in a top bank working on back office regulatory stuff. I can make 200k in my current niche, but do not mind going down in pay / title for an opportunity to work a few years in any one of those cool jobs. However, it feels like these are only open to people that are part of a track and not outsiders.