Question: can the king move 2 spaces in chess

Answer: Yes, In conjunction with a rook, the king may make a special move called castling, in which the king moves two squares toward one of its rooks and then the rook is placed on the square over which the king crossed. Castling is allowed only when neither the king nor the castling rook has previously moved, no squares between them are occupied, the king is not in check, and the king will not move across or end its movement on a square that is under enemy attack.