Is Millard Fillmore on any US coins or bills?

Yes, he's on the Presidential Series $1 coins issued during the first few months of 2010. You can ask at any major bank to see if they have any rolls of the coins left in storage. Alternately you can ask for loose coins and go through them to see if there are any with Fillmore's image.

All of them are only worth $1 in circulated condition so you can simply spend any that have other images on them, or start a full collection.