(1) Background: Endovascular abdominal aneurysm repair (EVAR) is associated with a reduction in early morbidity and mortality compared with open repair. Procedures performed under hypnosis might represent an alternative to further reduce the risks related to general anesthesia (GA). This study aimed to assess the feasibility and safety of hypnosis and local anesthesia during EVAR. (2) Methods: All consecutive patients who underwent EVAR or fenestrated/branched EVAR (f/bEVAR) under hypnosis and local anesthesia (n = 28) between 2017 and 2019 were retrospectively studied and matched to control patients who underwent the same interventions under GA. (3) Results: There was neither a significant difference in the length of ICU stay (p = 0.06), nor in the occurrence of endoleaks, reintervention, and 30-day mortality rate (p = 1.00, 0.73, and 0.24, respectively). The hypnosis group had lower use of norepinephrine (maximum dose 0.04 ± 0.1 vs. 1.2 ± 4.0 mg·h−1, p < 0.001), shorter procedure duration (181.2 ± 71.4 vs. 214.3 ± 79.6 h, p = 0.04), and shorter length of stay (5.4 ± 3.2 vs. 8.4 ± 5.9 days, p = 0.002). (4) Conclusions: In this pioneering study, hypnosis during EVAR appears feasible and safe. It is associated with lower intraoperative use of norepinephrine, as well as procedure duration and length of in-hospital stay.