OT licencing requirements differ by state. This page on the California Board of Occupational Therapy says:
Q. I have had a conviction in the past. Will that affect my getting licensed?
A. The Board's primary responsibility is consumer protection. To that end, the Board has the authority to deny a license due to a conviction of a crime or offense substantially related to the qualifications, functions, or duties of a licensee/certificate holder. In considering whether to issue or deny a license/certificate, the Board considers the nature of the crime/act, the length of time that has lapsed since it occurred, and evidence of rehabilitation. If a license/certificate is denied, the applicant is entitled to due process under the law in accordance with the Administrative Procedure Act.