Generally speaking, yes, it can. Mould growth happens when excess moisture is present, with no natural light or air movement to dry up the moisture. If you can remove the source of the moisture (most often water leaks from pipes or a leaking roof), you can solve the mould issue. You may need to replace some items, such as plasterboard sections, but even the most heavily mould-infested home can be restored and made livable when treated by professionals.