A strong math and tech background will help you get started building the nuts and bolts portion of the project. A vivid sense of curiosity will help to pin-point problem that you can attempt to solve.
Many of the APIs might require you to register a company but they don't require specific domain expertise to get started. Once you have an MVP you can pitch it and gain partners that have domain expertise.
Great question and good luck!
I'm more interested in learning about any domain in which the answer to this is no.
Are you familiar with the incredible amount of regulation in the industry?