Absolutely not. This is like saying water is a neurotoxin because a tiny subset of neurotoxins contain water. Or that almost any food can modify your dna, since mRNA, RNA and DNA are in any cells you eat.
reverse transcription doesn't just happen. Retroviruses work because they carry reverse transcriptase: https://en.wikipedia.org/wiki/Reverse_transcriptase
No reverse transcriptase, no DNA integration. The vaccine leaves out any other parts of the virus besides the spike coding. That makes it SAFER in that respect than conventional or monoclonal vaccines, which include tons of other viral parts! You know what might do reverse transcription? Covid: https://www.pnas.org/content/118/21/e2105968118
Good thing the mrna vaccine leaves out all those parts that could be activating LINE1 retrotransposons!
One of the key differences is the mRNA vaccines are not delivered with the necessary enzymes to actually cleave and splice DNA, e.g. [1].
0: https://en.m.wikipedia.org/wiki/CRISPR_gene_editing 1: https://en.m.wikipedia.org/wiki/Cas9
From the article:
> Some types of virus, such as retroviruses, integrate their genetic material (including the new gene) into a chromosome in the human cell.
Therefore the claim that an injection of RNA could modify your DNA is possible. Whether the COVID injections do this is a different story, and seems unlikely.
[1] https://medlineplus.gov/genetics/understanding/therapy/proce...