Sure. I'll do u one better. It has happened that a vaccinated person got ill with the virus, spread it and then died. But it's a very low percentage. The vaccine is highly protective against illness, spreading COVID, hospitalization and death. An unvaxed person is 5 times more likely to get ill, 10 times more likely to require hospitalization and 11 times more likely to die than a vaccinated person.
If u know medical history it's no surprise that a vaccine was made this quickly. Coronaviruses have been around since the late 60's(SARS, MERS) they've been analyzed and studied. We actually had a head start on developing the vaccine.
The flu virus is a lazy sloppy virus. When it replicates it let's it's DNA rearrange in whatever order it falls into. Coronavirus is much more sophisticated. It's methodical in the way it repairs it's errors. But to a vaccine maker that's a weakness he can exploit. Coronavirus is basically a slow moving target. Easy to make a vaccine for.
I think you must have missed my point. You can still spread the virus just the same if you're double jabbed ot not had any.