No. A TD spouse may live in the United States and may study, but holds no employment authorisation and cannot obtain one as a dependant.
The principal's classification decides the second adult's options
Dependants in TD status are permitted to accompany the principal and to enrol in study, appearing among the classes expressly allowed to study, but they have no right to work and there is no application that adds one. In a household where both adults have careers, this often turns out to be the fact that reshapes the plan, and it should surface before the offer is accepted rather than after arrival.
The workable answers are that the spouse qualifies for a classification in their own right, or that an employer sponsors them. It is worth noting that the L and E classifications treat spouses differently, giving employment authorisation incident to status, so where a household has a genuine choice of route, the second adult's working life is one of the things being chosen.