Yes, it can, as long as it doesn't put the king in check.
PS, it's "capture", not "kill".
You cannot capture opposite king in chess. You can attack him with check, and your opponent should immediately defend it. If the opponent has no way to defend, it is checkmate and you are awarded victory of the game.
Any opponent piece, except the opponent king.
Yes, but only if that results in you not being in check anymore. For instance, if it is the one that is checking you. When your king is in check, your only option is to stop the king from being taken. Otherwise, the game is over and you've lost. There are three ways to stop the king from being taken: move the king out of check; block the piece that has attacked the king; or -- here's the answer to your question -- capture the piece that has attacked the king. Any of your pieces that is able to do so, including the king itself, may capture the attacking piece.
Yes, a pawn can put a king in check in a game of chess by moving diagonally to attack the king if it is in its path.
The king can capture a piece and put the opponent's king in check by moving to a square where it can capture the opponent's piece while also threatening the opponent's king.
Yes, as long as it doesn't put him in check.
No. In addition to moving the King, check can be escaped by capturing the checking piece or blocking its path. Of course a Knight cannot be blocked, so that option is not available in that case. Also note that the King cannot avoid check by "castling".
Only if the piece won't be able to attack him then. Example: moving in front of a bishop is okay. Moving in front of a pawn is okay. Moving in front of a knight is okay. King, rook, or queen? No ma'am/sir.
Yes, the king can capture in chess, but only under certain circumstances. The king can capture an opponent's piece by moving to a square that is occupied by that piece, but only if doing so does not put the king in check.
No The rules state that one may never place his own King in check. Because a King can only move one square, it must be adjacent to a piece in order to attack it. But the act of moving your King adjacent to your opponent's King would be putting it in check. And so the move is not allowed. If your King is two squares away from your opponent's King, it is not attacking it, and thus it is not putting the other King in check. --CM
No, you cannot put a king in check with another king in a game of chess.
Yes, in the game of chess, a king can put another king in check.