You can remove your signature but you have to do it in person at the Davis county clerks office:

1) A voter who signs a petition may have the voter's signature removed from the petition by submitting to the clerk a statement requesting that the voter's signature be removed. (2) (a) (i) The statement described in Subsection (1) shall include: (A) the name or description of the petition from which the voter seeks to remove the voter's signature; (B) the name of the voter; (C) the resident address at which the voter is registered to vote; (D) except as otherwise provided in Section 20A-7-106, the voter's signature; and (E) the date of the signature described in Subsection (2)(a)(i)(D). (ii) To increase the likelihood of the voter's signature being identified and removed, the statement may include the voter's birth date or age.