Unfortunately, you can not communicate privately through Meet until the Breakout Room feature is available.
But you could connect via Hangouts (Basically, Hangouts is a way for you to communicate with each other privately, similar to texting, but on a computer and through the school). Always add the classroom teacher to the Hangout.
Follow these steps:
-Open your email
-On the left side, there is a 'quotation' icon; hover over it with your cursor open Hangouts
-Click on the + next to your name and select "New Group"
-type in student email/the teacher's email to make a new group with them and click the green check mark
-Have student (and the teacher at some point) open their email. There should be an invite from you in the Hangouts section on the left side of the screen.