Michael,
Whether or not the FET can handle this pulse depends on both the FET's pulsed current ratings (to which you can refer to the horizontal lines in the SOA), but also the thermal environment of your board.
The longer the pulse duration, the more the thermal environment (PCB thickness, ambient temperature, airflow, etc...) matters. The shorter the pulse duration, the more it comes down to the internal makeup of the device (i.e. the ratings in Figure 10).
The critical question is how long do you expect this pulse to last?