On lichess at least there are definitely some 'defense oriented' as in finding the move that won't lose you material. At any rate, even the attacking puzzles often have a 'defensive' part as you have to exclude the moves that lead to a tactic for your oponent.

Further, spotting successful tactics for yourself is a very related skill to spotting them for the oponent, you can even just press f (I think) to look at the board from their PoV and look for their tactics that way.