Here's a thread on mRNA vaccines and their ability (or lack of ability) to edit or alter your DNA. Hopefully this will clear up some common misconceptions on the topic.

To start we need to make a very important distinction when discussing the action of this, or any vaccine.

Every vaccine functions under normal conditions, based upon specific intentional mechanisms (e.g. aluminum adjuvant indented to amplify the immune response).

Every vaccine may also malfunction, or function under abnormal conditions, presumably unintentional (adverse events).

Under normal conditions, the mRNA vaccine is designed to deliver an mRNA payload into the cytoplasm of the cell. From here, the cell will use the mRNA as a blueprint to manufacture proteins. Some proteins are excreted from the cell, others are presented on the surface by MHC-1.

The mRNA would need to transfect the cell nucleus to combine with, alter, or edit the DNA. There is no known mechanism (within the vaccine) to facilitate this action. DNA vaccines are a different story, but that's off topic at the moment.

So in conclusion, according to the vaccine design, or the intended vaccine functionality, there is no mechanism by which an mRNA vaccine can alter your DNA. But what if there is a malfunction, abnormal condition, or unexpected factors? Here's what may happen..

In my May 17th 2020 Instagram post, I show a simulation of reverse transcriptase and integrase enzymes. These enzymes are not known components of mRNA vaccines, but would provide the necessary functionality to write mRNA vaccine sequences into your DNA.

https://www.instagram.com/p/CAUH3BunrID 

These enzymes can originate from human endogenous retroviruses, or even from contamination found in other vaccines (e.g. there is evidence of HERV-K found in MMR vaccine).

Here's a good article that describes in detail, how the mRNA vaccine spike sequence, through reverse transcriptase and integrase enzymes, may be reverse transcribed into your DNA. https://sciencewithdrdoug.com/2020/11/27/will-an-rna-vaccine-permanently-alter-my-dna/

However, it is not the vaccine, or even components of the vaccine, that enable or directly cause DNA alteration. Even though the possibility of DNA alteration remains (though enzyme activity) it would be inaccurate to claim the vaccine itself was the cause of this end result.

You could claim however, that the vaccine is a contributing factor, in an outcome where a persons DNA has been altered to reflect the vaccine mRNA encoding - as long as you acknowledge the external contributing factors (reverse transcriptase and integrase enzymes).