Just like a test question!

[geh]

Recent HS game situation:

20.2 seconds on clock in 4th quarter, 2 point game. A1 inbounds under own basket to A2. A2 dribbles once, shoots, rebounds own miss and is fouled. Official approaches table to report foul and is informed that the clock was not started. Official looks up sees that the clock is still at 20.2 seconds, and informs coach (who stated that clock had not started) that no change could be made to the clock because there was no definite knowledge of elapsed time. There was no ten second or five second count going on.

Was the official correct?