Can I find a job if convicted of a felony possession? First offense ever, character background extra plus?

I have 20 years experience in the financial industry with an outstanding record and reputation. Consisently top ind performer as well as successul senior management positions, successful in every role. ONE mistake, may destroy everything. Do you know any organizations or industries that recognize stability and outstanding resume instead of background check as final decision. Issue is NOT a moral or financially related charge.