No. A dependant of a treaty professional may live in the United States and may study, but is not authorized to work. Only her own status would permit employment.
The dependent classification does not include work
This is the single most consequential difference between the professional route and the investor or transfer routes, and it decides which household member's plan should lead. A spouse admitted as a dependant of a treaty professional may accompany, live and study, including a full degree programme, but may not take a job, and that includes remote work performed from the United States for a Canadian employer. Where the spouse has a career she intends to continue, the household should test whether she has a route of her own, which would make her the principal and leave him as the dependant, or whether a classification whose spouse has employment authorization fits the family better. Children under twenty-one may attend school; they may not work, and their status ends when the parent's does.
Hypothetical example: a medical laboratory technologist accepts a hospital role while her spouse operates an online bookkeeping practice. Their first review produces two separate work-location plans, because a Canadian client does not remove the issue when the bookkeeping is carried out from a home in the United States. The record that settles the point is the spouse's own status and work authorization, not the source of invoices. They may sequence the move by keeping the spouse in Canada temporarily, obtaining independent authorization, or selecting a different principal route. Starting the business first creates a compliance problem that is difficult to unwind.