Here's an example: my friend was not in the mood for breakfast. The host took it as a sign that he was taarofing. He insisted that he wasn't. His persistence was seen as a sign that he really wants breakfast. The only way to make it stop while being polite was to take a bite. He was furious!
It sounds from your story that the answer is no, but I wonder if it's different between close friends or family members where there's less pressure to be impeccably polite.
I agree with the other poster who hates it; it’s an obnoxious method of social interaction only enjoyed by people who like drama.
There is of course also "Be khoda tarof nemikonam" which is "I swear to god I am not tarofing", after this it is usually acceptable/expected to stop it.
Edit: Article also mentions the rule of three
> There is an unwritten rule of two or three rounds of offering and refusing in taarof.