Breakout rooms for concurrent 1:1 tutorials?

I'm a maths/science teacher. I also tutor maths after school, helping high school kids grades 7 - 12 (Australian system).

I have several students that I tutor 1:1 at various times during the week. Since covid-19, I have already been using Zoom for this (free version). I use the whiteboard and screen share extensively. Whiteboard to write equations etc, screen share to view textbooks etc and annotate on top of that. It works really well with live video and audio, just as good as being in the room.

I want to know if I can scale up my operation on Zoom. In my physical classroom, I can easily tutor 2 kids on completely different topics simultaneously. Switching between the students - I can tutor 1 of them (a grade 8 for example) and another (a grade 9). Basically, while one student does a problem, I teach the other one, then switch around every couple of minutes, marking, correcting and discussing as we go along.

Can I do this on Zoom? I need to effectively isolate the students from one another. In the physical classroom this is obvious, I just seat them at different desks and its clear who I am talking to when I sit next to a student. In Zoom how is this done? I think it would need breakout rooms - put each student in a separate room. Question is - is it possible to screen share and use whiteboard separately in the different breakout rooms like this?