team A down by one drives to the basket and gets fouled on the shot as the buzzer goes off. can coach B call time out with no time on the clock to ice the player. if coach B can call time out, will he be able to use another time out after the first attempt or is this considered successive time outs.

What quarter is it?

sorry, end of fourth qtr.

Yes - the coach can request a timeout before either shot.

He cannot, however, request a second timeout. Nor can the other coach be granted one until the overtime period begins.

5.12.3 A:
"At the end of playing time for the fourth quarter or any overtime period, successive timeouts shall not be granted. This means a [second] time-out cannot be granted either team until the clock has run in the extra period."