This study investigates the reliability and security performance of quantum key distribution in vehicle-to-everything systems over free-space optical links. Towards realistic scenarios, we consider the random location of the vehicle, which leads to stochastic jitters and oscillations in communication. Thus, there exists a mismatch between the azimuth and elevation angles, also known as a pointing error situation. Taking into consideration the standard Poisson Point Process (PPP) model for the movement of the vehicle and eavesdropper, we derive a closed-form expression for the outage probability (OP) for quantum photo exchange between legitimate transceivers while providing an approximate expression for evaluating the intercept probability (IP) of backlash links at the eavesdropper. Monte-Carlo simulation-based methods are presented to validate our developed mathematical frameworks.