Firstly, Field Hockey uses a ball not a puck. Secondly, no, use of the back of the stick is against the rules; however use of the edge in some situations is perfectly legal and even acknowledged as good play.
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In Ice Hockey, if you throw it at some one to poke the puck away or trip them, I believe that it's a penalty or a penalty shot.
In field hockey, you will probably be given a yellow card, along with the appropriate penalty.
If it influences play in any way, then this is considered a foul, and a free hit is given to the other team.
It's quite common for a player to use the back of his stick to control the puck. If he uses it for something else, such as to strike another player, that would be a penalty.