Time out between quarters?

[bradfordwilkins]

Beginning of 4th quarter, calling both teams back to court. It is Team B's ball and we're getting ready to hand it in, waiting for Team A to finish their huddle. A few blows of the whistle and instructing coach and Team A to get on out.

Coach A responds "Time-out." (As in requesting a time-out). It is B's ball but we have not given it to B1 yet.

Is this possible? I can't think of any reason why not but also can't think of how it can be either. So obviously I'm missing something and that's where you all come in :-)