SMPS transformers can fail (more often small ones and they'll fail open) but it is quite rare.
The most common is that the FET will short due to bad capacitors, overload if there is no OCP, bad solders, dead opto or TL431....
Anyway the odds are that once the FET has blown it has also destroyed the PWM IC which will also need replacing to not blow replacement FET.
First of all try to identify the initial cause of failure.