Is it possible?

[NewNCref]

In that order, no, the statement is false. You cannot have a foul called, and then have time run off the clock. The clock stops on the whistle, and becomes dead as soon as the try ends.

However, in the event that a foul was called, and the timer wasn't able to stop the clock in time, and the officials had no definite knowledge of the time the foul occurred, then I could see going with the FTs, and the period then ending.