Yes, you can mirror this system collection using the Game Data Service (GDS) and make it searchable. Please see the Mirroring the Player Collection tutorial in our main Learn site for a detailed example of how to do this.
IMPORTANT! We strongly advise against performing searches against the player system collection, or any system collection, because these collections are subject to change by the development team during continuous development of the service. Reading these collections might therefore affect your game's logic.