Is there a way to set the Feedback Form for Switching from Lightning to Classic so that it only goes to certain profiles?   

We have users across several business units.   The product manager of one business unit (who have been on Lightning since day one) doesn't want the Feedback Form but it is something that we would like to consider as we migrate the next business unit from Classic over to Lightning.   

I am concerned that if I turn the Feedback Form on, it will go to all profiles regardless of business unit.