Could the old fuel filter in a 1994 Chrysler Concorde cause car to cut off?

Yes, a clogged or failing fuel filter in a 1994 Chrysler Concorde could absolutely cause the car to cut off. A clogged filter restricts fuel flow to the engine. If the restriction is severe enough, it won't be able to get enough fuel to maintain operation, leading to stalling or cutting out, especially under load (acceleration or hill climbing). It might also lead to hesitation or rough running before it completely stalls.