This work introduces security for unsourced random access (URA) by employing physical layer security techniques. To achieve confidentiality, the proposed system opportunistically exploits intrinsic features of feedback-aided URA without adding any overhead or altering its original structure or operational characteristics. As a result, the proposed system preserves the low-cost advantages of URA, including low delay and minimal signaling overhead, while providing secure communication. To secure transmission, each user generates a secret key from a feedback signal broadcast by the BS in a previous transmission round. This feedback depends on the BS-user channel, making it a private signal for each user. Secure transmission is achieved not only through encryption using the secret key, but also by transmitting only the parity bits of the LDPC-encoded key, thereby enabling its recovery at the legitimate receiver via Slepian-Wolf decoding with side information. For reception, a receiver algorithm is designed for the legitimate receiver, and a leakage analysis is provided to quantify the information available to the eavesdropper. The simulation results show that meaningful secrecy is achieved in URA without modifying its structure.