JugglingReferee wroteNo. I can't imagine a case where it is possible. Not in Fed or FIBA, imho.
Nothing in FIBA rules prevents an official to call two fouls on the same play. Crazy Voyager has already explained a case and I agree completely. In normal plays it can happen that, for example, a shooter is fouled by two opponents almost simultaneously: I'd suggest to penalize the first foul, considering the second one incidental and caused by the other. Of course, if the second foul is not unsportsmanlike.
Such cases happen: a player is fouled and continues the shooting movement; another opponent fouls the shooter after the official's whistle, clearly to prevent a basket. I'd say foul and unsportsmanlike foul (intentional in Fed): four shots and the ball. Probably it won't happen any more in the game. 😉