Will an expunged misdemeanor offense show up on a federal background check?

When I was 20, I was involved in a car accident where I disclosed that I had consumed alcohol approx. 6 hrs prior to incident. I passed a field sobriety test with flying colors, but was charged with DUI by a minor in Texas. I turned 21 before it reached a court hearing and I believe the charges were dropped and my record expunged. I was never finger-printed and was released from the incident with a written citation. Will this show up on a background check? I don’t wish to disclose it, if I don't need to. I am applying for a financial advisory position where I believe the check will be thorough since it is federally required.