Nope, she's au natural.
Not according to her bio at IMDB. She has never denied getting implants and she has even joked about it. Here are a couple of quotes from her on the topic:
(On the topic of her bust size) "People always ask me if they're mine. Yes, they are...all bought and paid for."
(Alluding to her famous bust) "If I build another park, it will probably be in Silicon Valley."
Maybe she's just joking to keep everyone guessing, but I doubt it.
From Dollymania.net
In 2002, she admitted for the first time during interviews in Europe that she has, in fact, had implants. In one interview in the Irish Independent, she said she had gotten breast enhancements at a cost of about $3,000 (which would date them to around the mid-to-late-1980s). Then in the London Mirror, she explained that she decided to get implants after her dramatic weight loss around 1986. As any woman who has lost a great deal of weight knows, usually the first area to decrease in size is the chest. She said she got implants for the first time then because she had surgery to remove excess tissue left behind after the weight loss, and that made her breasts much smaller than they had been in the past when she was heavier. And if you look at photos from the late 1980s, they did appear larger at that time than they did when she first became skinny.