There is a lot of back-and-forth in the classical guitar community as to whether or not it is appropriate to use a guitar pick when you play on a nylon stringed instrument. Of course nobody ever wonders if a classical drummer should be beating on the toms and bashing the high hat with his hands. While there are many beautiful and amazing players who only use their fingers, that should not be regarded as a blanket proscription against using classic guitar picks when you please.
If for no other reason than trying something new to see how it sounds. Experimentation can lead to some amazing musical breakthroughs and it is worth giving it a shot at least once in a while. Becoming familiar with the uses of a pick on classical songs may really save you one day when your fingers are too sore to pluck.