Except that the most common jab being offered is an mRNA gene therapy to make one resistant to COVID, not a vaccine in the traditional sense. Should have been "IGotTheJab.com" or "ImCovidImmune.com"
Still a vaccine, per Merriam-Webster's definition
"a preparation that is administered (as by injection) to stimulate the body's immune response against a specific infectious disease"
You are confusing 'gene therapy', which seeks to alter patient DNA, with the vaccines, which deliver the RNA of the COVID spike protein so as to train the immune system.