No. Children accompanying an intracompany transferee hold derivative status and may attend school on that basis, without a separate student status. The transferee's spouse is employment-authorized incident to status and may work.
Study comes with the derivative status; age is the limit on it
Families relocating for an assignment sometimes assume that enrolment requires a student visa and start an unnecessary process. It does not: a derivative child may attend elementary or secondary school as an incident of the status they already hold. Two limits deserve a place on the planning list.
First, the derivative relationship ends at twenty-one, and it ends on the birthday regardless of whether the school year has finished or the assignment has run its course, so a household with a seventeen-year-old should decide now what happens if the posting extends. Second, if that young adult intends to continue at an American college afterwards, the transition to a student status has its own timing and its own requirements, and it is much easier arranged a year ahead than a month ahead. A spouse's ability to take employment, by contrast, follows from the status itself and needs no separate permission.