No, in Pfizer’s (the biggest vaccine in the us currently) latest test, 6 out of 44,000 people died so under 0.1% of people taking the vaccine died, COVID however, has around a 97% survival rate, so a bit over 3% of people die from it, these statements made by conspiracy theorists and anti vacciners, are completely baseless and false, i suggest you do some research before you start believing these fake statements