No. TD dependants may live in the United States and may study, but TD status carries no employment authorization and there is no application that adds it. Her own status would have to change before she could work.
TD permits study, never employment
Hypothetical example: the surveyor's wife is a dental assistant in Grand Bay-Westfield and assumes she can pick up part-time work near the project office once they arrive. She cannot. TD dependants are admitted because of the principal's status, and that status does not include the right to be employed, paid or self-employed in the United States.
Enrolling in a course or a full programme is permitted, which is why some spouses use the first year to complete a qualification instead. If she wants to work, the practical routes are her own TN if her occupation appears on the professional list and an employer offers her prearranged work, an employer-sponsored petition in another category, or a change to student status with employment incident to that status where it is available. Each of those is her own application, decided on her own facts, and none of it follows from her husband's approval.