Question about choice

Hello. I'm choosing component to do my tasks:

There is a small center for kids, where teachers help children to do their homework. There is a schedule grid with cols: day of week and rows: lessons time (9:00-10:00, 10:00-11:00 and so on).
Usually, every week in some day at selected time some teachers has personal lesson, but some lessons a free and child can ask teacher to help him with his homework at that time at that day of week, every week.

So. I need to show schedule on my website. On that schedule some lessons will marked as "Teacher is busy", and some lessons will marked "Teacher can help you". Child will pick free time and ask teacher to help him every week at that time, After, that lesson at that time, which child has picked, will be marked "Teacher is busy"

Is it possible to do this with JEvents?