Yes and no. If your trainer is also certified within the nutrition field, he or she can prescribe meal plans. However, most personal trainers don't have dual certifications and can only make nutrition suggestions based on gym performance or weight loss/muscle gain efforts - like recommending that you count macros, get enough rest and water, and when to time your meals based on your exercise schedule. If you want a day-to-day schedule of what to eat, you'll need to work with a nutritionist in addition to your personal trainer in most cases.