You are certainly not supposed to, but Jacub Voracek did without a penalty being called.
The official NHL rules on playing with two hockey sticks…
A player who participates in the play, who checks or who intentionally prevents the movement of an opponent, or who intentionally plays the puck while carrying two sticks (including while carrying a replacement stick to his goalkeeper) shall incur a minor penalty.
Here is the first 2 hockey stick video..
Here is another camera angle on the double hockey stick play with some flabbergasted commentators
Because it is against the rules, you just don’t see this very often