Can a service really recover coins that were stolen?

No. Blockchain transactions are final and cannot be reversed, so no legitimate service can retrieve coins that have already been moved by a thief. Any company or individual that contacts you after a loss promising to recover your funds for an upfront fee is running a second scam that preys on desperation. They will take your payment and deliver nothing, or extract more details to steal further. The honest, protective response to a loss is to secure whatever remains, fix the root cause that allowed the theft, and ignore recovery offers entirely. Prevention through good habits is the only real protection that exists.