Depending on any case you read the answer could be yes or no. Some states require all public employees to be fingerprinted (background check mostly) but they are kept on file. Other states/jurisdictions don't require it but if an issue comes up during an investigation with unknown DNA or fingerprints, any public employee (cop, paramedic, coroner, etc) may be printed or samples taken to rule people in or out. I happen to believe an innocent person is on death row in Texas. Issues came up about possible crime scene contamination. They had to track down and print everyone who entered the house. It would have been simpler if their prints/DNA profiles were already in a database to rule out instantly.