If that's your definition of financial success, you - almost certainly - will not be successful. If you are on track for, say, an Ivy League education, then you have a realistic chance, with the right degree. For most people, it will be clear by age 18 whether the chance is realistic or not.
It doesn't unless that's your only goal. Having wealth gives you a lot of flexibility and potential, but it is not a good in itself. It can be used for good or evil, and it may require great sacrifice to attain it.