Hello, I'm Greg, here to help you with this.
This is not presently an option with Phone Link app but needs to be suggested to developers so they can consider it properly:
If you want to suggest this to Microsoft you may be able to help improve this product/experience by using the Feedback Hub in the Start Menu apps list. Microsoft developers DO read feedback from customers that comes in via the Feedback Hub, so that is a great way to share your thoughts on how to better serve you as a customer.