That claim is false. The COVID-19 mRNA vaccines do not change or alter your DNA in any way. First, the mRNA from the vaccine never enters the cell’s nucleus, where your DNA is kept, so it cannot affect or mix with your genetic material. Second, the mRNA breaks down quickly after giving your cells instructions to make a harmless spike protein, leaving no trace behind. The Swedish study being shared online was done in a lab, not in living people, and does not prove that DNA changes happen in the human body.
I found a source, linked below, that proves exactly how the covid-19 vaccine is harmless and in no way a threat to any users DNA. The article states, the COVID-19 vaccines do not alter or affect your DNA. They use messenger mRNA to teach your cells how to make a harmless spike protein found on the virus. This spike protein triggers your immune system to recognize and fight the virus. The mRNA never enters the cell’s nucleus, where your DNA is stored, so it cannot change your genetic material. After the spike protein is made, the mRNA is quickly broken down and removed by the body. Once vaccinated, your immune system remembers how to respond, offering protection against future COVID-19 infections.
https://www.covidvaccinefacts.org/questions/will-vaccine-change-my-dna
USA Today, giving another response (linked below), nearly two years after COVID-19 vaccines were authorized, most Americans have received at least one dose, but misinformation still fuels vaccine hesitancy. Some false claims on social media say that mRNA vaccines change people’s DNA. A viral Instagram post even claimed that vaccinated people are no longer human, calling them “homoborgensis.” This claim is completely false, there is no NASA paper or research supporting it. Experts and health organizations confirm that mRNA vaccines do not alter DNA, and vaccinated people remain fully human.
https://www.usatoday.com/story/news/politics/2022/10/31/fact-check-covid-19-vaccine-does-not-change-dna-vaccinated-still-human/10612878002/