This is an interesting question and one that has an even more interesting answer. Simply put, no GPS apps can’t track police. However, if a navigation application allows users to post real-time alerts that concern traffic, you can. If someone were to report a certain location where they spotted a police car or an arrest, you could then see it and know exactly where they are. One app that does allow this is Waze.
Although it may seem unlikely for you to see such an alert, people can begin to crowdsource the information. You never know, this could end up saving you from both a situation that will waste your time and money.