Not really, it has to be random in a predetermined fashion to be considered differential privacy. It is reversible in the way that someone shouting over an aicraft producing white noise is intelligible.
I guess someone could fiddle with the noise, but then why not nudge the originals? Or more insidiously, control what is published?
If someone modified the original dataset and it was discovered they would be held accountable. However if you have a departmental policy of modifying the data for "privacy reasons" and it just so happened to surrepititiously affect some sort of political outcome then ah geez that just a wacky coincidence not any individuals fault.