Does a career and technical school count to claim a full time student?

Yes, as long as she is enrolled at least full time as a student, you would be able to claim her as a dependent on your return. 

Q. Does a career and technical school count to claim a full time student?

A. Yes. 

To qualify as a student, the person must be, during some part of each of any five calendar months of the year:

1. A full-time student at a school that has a regular teaching staff, course of study, and a regularly enrolled student body at the school, or
2. A student taking a full-time, on-farm training course given by a school described in (1), or by a state, county, or local government agency.

The five calendar months do not have to be consecutive.