Can you checkmate someone in chess with your king?

It is possible to checkmate with a queen against two bishops, just as it is possible to checkmate with two bishops against a queen. However, in perfect endgame play, two bishops versus a queen, without any other pieces on the board is a draw, given that

1. The bishops cannot take the queen or vice versa

2. There are no tactics with which the queen can force a capture of the bishop in a few moves

3. There are no extenuating circumstances where either side has to give up a piece to avoid checkmate.

In other Words, if the king is in or near the center defending both of the bishops and the opposing queen is not in the bishops' line of fire, the game is a theoretical draw.