No.
We have all heard that you lose the right to vote if you have a felony conviction. That is only partly true. Here in Utah, you cannot vote while you are incarcerated, but the moment you go on probation, or parole, or complete your prison term, your can vote again.
Bankruptcy is not a crime. It is definitely not a felony. You do not lose your right to vote, to hold office, to register for a concealed weapons permit/driver’s license/food handler’s permit, etc. Filing bankruptcy is using a portion of the U.S. Code and federal laws to reorganize, repay (if possible), and discharge your debts.
On a side note, Utah is fairly lenient with voting and incarceration. Here is the relevant code section:
Title 20A Chapter 2 Section 101.5 Convicted felons — Restoration of right to vote and right to hold office.
(1) As used in this section, “convicted felon” means a person convicted of a felony in any state or federal court of the United States.
(2) Each convicted felon’s right to register to vote and to vote in an election is restored when:
(a) the felon is sentenced to probation;
(b) the felon is granted parole; or
(c) the felon has successfully completed the term of incarceration to which the felon was sentenced.
(3) Except as provided by Subsection (4), a convicted felon’s right to hold elective office is restored when:
(a) all of the felon’s felony convictions have been expunged; or
(b) (i) 10 years have passed since the date of the felon’s most recent felony conviction;
(ii) the felon has paid all court-ordered restitution and fines; and
(iii) for each felony conviction that has not been expunged, the felon has:
(A) completed probation in relation to the felony;
(B) been granted parole in relation to the felony; or
(C) successfully completed the term of incarceration associated with the felony.
(4) An individual who has been convicted of a grievous sexual offense, as defined in Section 76-1-601, against a child, may not hold the office of State Board of Education member or local school board member.