Deliberately blocking your own side won't win you many friends and the only reason to damage your own side's ability to lay a card might be when the next person can't lay the card your side needs to complete the path and the only card that can be layed will stop your side winning. In that case you might block a miner to stop them laying their only card and allowing the next miner to complete the path.
If I remember correctly you have the choice between laying a tile and discarding a tile. If you break the equipment of a player on your own side and he can't lay a path tile on his turn, he has to discard a tile. (or play a special tile) Why would this help you? It doesn't give any extra options and he still looses a card on his turn.