In American football, the only players who cannot catch a pass are the interior offensive linemen. They are considered "ineligible." Tight ends, split ends and everyone behind the line of scrimmage (including the quarter back, punter and kicker) are eligible receivers. Ineligible receivers may not cross the line of scrimmage on a pass play until the ball is thrown. They also may not be the first player to touch a pass, but they may catch a pass that has already touched another player.
Of course, any defensive player can intercept a pass at any time.