Rest App choose parking lot

Is it possible on some phones to have the Rest App for Parking Lot be anything other than the default lot or all lots.

I have a few extensions that are setup to use a new parking lot that is not the default. When configured with the Rest App Parking Lot they see calls in the default lot. And the other phones see parked calls in the other lot. It is possible to specify which phones can see which parking lot based on what parking lot is defined in their extension settings?

For instance ext 500 is set to use parking lot: Test
ext 600 uses the Default lot.

All phones can see all parking lots.

I need 500 to only see calls parked in lot Test.