Yes. One spouse is the E-2 principal who develops and directs the enterprise; the other holds E-2 derivative status and is employment-authorized incident to that status, so may work in the dealership or for any other employer. Children under 21 may study but not work.
Assigning roles in the household
Decide which spouse will be the principal before the ownership documents are drafted, because that person's name should appear on the share register with the controlling interest or the documented operational authority. The derivative spouse's authorization is not tied to the dealership; it exists by virtue of E-2 status, and the spouse should keep the documentation that evidences it for any employer's records. Children may enrol in school in derivative status.
A child who turns 21 during the family's stay loses derivative eligibility and needs an independent basis, such as a student category, so record every birth date on the planning sheet. Remember that E-2 is a nonimmigrant category with no direct route to permanent residence; a family expecting to settle permanently should raise that objective at the first review rather than after several renewals. If one spouse is not a Canadian citizen, that spouse cannot be the principal, but can still be the derivative.