People historically excluded from receiving medical care in the United States, in addition to being at greater risk for SARS-CoV-2 infection, have had slower vaccine uptake due to structural barriers to availability. We present one student-run free clinic’s SARS-CoV-2 vaccination program from January 15 to August 1, 2021, in Nashville, Tennessee. We tracked SARS-CoV-2 vaccine primary series completion among 273 free clinic patients with the help of medical student volunteers, who scheduled appointments and answered vaccine-related questions. We worked with our academic medical center partner to host a single-dose vaccination event at our clinic. We compared vaccine series completion in our clinic to adult vaccine completion in Davidson County, Tennessee on August 1, 2021. Of the 273 free clinic participants, 144 identified as Spanish-speaking (52.7%) and 172 (63%) had at least one qualifying comorbidity per the December 30, 2020, Tennessee COVID-19 Vaccination Plan. As such, 183 (67%) were characterized as vaccine eligible in Phase 1a2, 1b, or 1c. On August 1, 2021, 63.1% of free clinic patients had completed their primary SARS-CoV-2 vaccination series compared with 58.9% of adults in Davidson County, Tennessee (RD 4.2%, 95% CI: −1.5% to 9.9%). Spanish-speaking free clinic patients were most likely to have completed their vaccination series. We describe a framework for a patient-centered vaccination effort to reach individuals traditionally missed by large vaccination campaigns. We highlight structural hurdles experienced by vulnerable populations, including language barriers, lack of technology or reliable internet access, inflexible working schedules, lack of transportation, and vaccine misinformation.