No, it is not possible to obtain PurePaths from the Dynatrace API. You can only get PurePaths from within the Web UI.
However you are able to get metrics like response time and count from specific requests that you mark as Key Requests, using the new Metrics API endpoints. You can find out more about the Metrics API with the following links:
You can read more about the Metrics API and Key Requests through these links:
Key Requests: https://www.dynatrace.com/support/help/how-to-use-dynatrace/transactions-and-services/monitoring/mon...
Metrics API Blog: https://www.dynatrace.com/news/blog/integrate-dynatrace-more-easily-using-the-new-metrics-rest-api/
Metrics API Documentation: https://www.dynatrace.com/support/help/extend-dynatrace/dynatrace-api/environment-api/metric-v2/