Stored or frozen fat may or may not be safe. But, it is certainly not viable for lasting results.
Fat grafting has been performed by plastic surgeons for decades. There is no question that fat is the ideal material for soft tissue augmentation, and that the results obtained with fat grafting are the most natural-appearing. However, one problem with this procedure in years past has been resorption (breakdown) of the grafted fat, so that the resulting improvement is not permanent. The grafted fat must gain its own blood supply in its new location in order to persist long-term, and this generally is not possible when large amounts are injected at once and when specialized instrumentation and techniques are not employed.
In order for fat to persist, small amounts (less than 0.1 cc at a time) of fat are carefully microinjected in a series of discrete layers to gradually 'build' new soft tissue structure. As there is space between each microinjection, new blood vessels are able to grow into the grafted fat, allowing it to persist. If this process of blood vessel ingrowth (neovascularization) does not occur, then the injected tissue cannot truly be considered a 'graft' and is instead just another 'soft tissue filler' of limited duration.