The fast of the month of Ramadhan is an obligation (wajib), and thus, if one wishes to fast the recommended fasting, one can fast at almost any other time - recommended days include the months of Rajab and Shabaan and the first 9 days of Dhul Hijjah.
For further details, you can refer to Mafaatih al-Jinaan in print or www.duas.org which also offers details on recommended days to fast.