In normal Chess rules, the only piece that can be "checked" ... put in check ... is the opposing King.
Technically, the King is never actually "taken", but rather put in checkmate; a state in which it is in check and no legal move to get it out of check exists. The game ends at this point, so there's little point in actually "taking" the King.
No. The queen can't be "checked", only the king can be checked.
No, a pawn cannot take the king in chess.
No, pawns cannot take kings in chess.
No, in chess, the king cannot take the queen.
No, a pawn cannot take a king in a game of chess.
No, a pawn cannot take out a king in a game of chess. The objective of chess is to checkmate the opponent's king, not to capture it with a pawn.
No, in a game of chess, a king cannot take another king.
Take the chess board and start beating them with it.
Yes
No, a pawn in chess cannot take a king. The game ends when the king is in checkmate, not captured by a pawn.
If you take your hand off a chess piece after touching it, you must move that piece if it is legal to do so. This is known as the "touch-move" rule in chess.
Hermione took the Queen on McGonagall's giant chess set.