No. A Knight with only a king cannot checkmate the other King, even if that King has no other pieces. Under the official rules of Chess when a game comes down to one player having only a King and the other player having only a King and a Knight, the game is automatically a draw. The same goes for a King and a Bishop against a lone King. This is why the Knight and Bishop are referred to as "minor pieces" while the Queen and Rook are "major pieces." A King and Queen or a King and Rook are able to checkmate a lone King.
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Yes, it is possible. The process is too difficult to describe here but the principle is to force the enemy king to the edge of the board and then force him to a corner of the board whose square is the same color as the square your bishop sits on. For a more detailed explanation do a web search on Bishop and Knight Checkmate.
Yes, you can.
Opponents king on a1.
Knight is attacking opponents king on b3.
Other knight on c3.
Your king on c1.
However, if your opponent plays carefully, you cannot force this checkmate inside the 50 move stalemate deadline.
No , if you drive an enemy king into a corner then you still need to control four different squares to checkmate your opponent's king . Your king can control two of those squares (but cannot approach the enemy king) , your knight can control the third square but there is no way of controlling the fourth square . It is impossible for the knight to control both the corner square and the one adjacent to the enemy king (the one your own king doesn't control) .
The result would be a draw because of having insufficient materials to win .
No, you need at least a rook or a queen (paired with your king) to force checkmate.