Can you choose the COVID-19 vaccine you want? A. Currently, only the larger health care systems – Hartford HealthCare and Yale New Haven Health Care – allow you to choose, hospital and state officials say. In general, given scarce supply, state health officials advise only one vaccine may be available through your selected provider. You can talk with your medical provider if you have specific questions or concerns that may lead you to want to seek out one specific COVID-19 vaccine versus another. The federal Centers for Disease Control and Prevention and public health experts advise that everyone get the COVID-19 vaccine as soon as they become eligible, regardless of the manufacturer.