As far as I know, no. Fatty acids are broken down into acetyl-CoA, which has to be metabolized through the Krebs cycle. Since the Krebs cycle cannot operate without oxygen, fatty acids cannot be burned for energy under anaerobic conditions. Similarly, many amino acids are broken down to intermediates of the Krebs cycle (e.g. acetyl-CoA, α-ketoglutarate), which also cannot be metabolized without oxygen. Some amino acids can be broken down into oxaloacetate or pyruvate which could be used to fuel fermentation, though I'm not sure whether these steps occur under anaerobic conditions.