Yes, a kindergarten kid is a student generally, but only children enrolled in college, university, or another post-secondary school are considered students in TurboTax Online.
Though fees for kindergarten programs are generally not deductible, if any part of the fees is related to childcare services, you may be able to claim them as a deduction. Please see this Canada Revenue Agency (CRA) website for more information on what qualifies as a childcare expense: Line 21400 - What payments can you claim?