You should be able to do that, but to find a kit that will match a 20 year old faucet is usually the tricky part. I've worked on faucets that are 10-15 yrs old and you can't get parts for them. However since its moen it could be possible. Best bet is to call the 1800 moen number.
If you don't learn something new everyday at work, it's not even worth going.