No. This myth may have arisen from the fact that the Pfizer-BioNTech and Moderna vaccines contain messenger RNA (mRNA). mRNA is a @type of genetic material, but it's not the same as DNA. The RNA does not enter the cell nucleus, which is where your DNA lives. Many vaccines put a weakened or inactivated germ into our bodies, but not mRNA vaccines. mRNA vaccines teach our cells how to make a protein that triggers an immune response inside our bodies. That immune response, which produces antibodies, is what protects us from getting infected if the real virus enters our bodies. mRNA vaccines do not change your DNA.