LOL.. if it was engineered to get in, it would. Live in your dream world if you want tho.
If I wanted to design an orally administered DNA medicine that could be eaten absorbed and then get inside the cell nucleus to mess around with the host DNA; I would be told just how impossible that is.
That you think it can take place by accident shows how little you know of the subject.
I know the subject. I work in this area.
DNA from the things you eat DO NOT get inside your own DNA. That is delusional.