Hi Fuschia!
I think the answer to your question depends on the pariculars of the fruit acid you'd be using. I know that the main used one is glycolic acid, and then there's also salycilic acid as well. I trained in skinceuticals with these products, and at that point was told that the glycolic acid could be used on normal/combination skin, you just amend your application time according to the skin type.
Is it a particular brand you have in mind, or a particular type of acid?