Have you ever had the Kentucky Fried Chicken Potato Bowl?
It's not a finger food, but easy to eat without any cutting, etc.
It's a one-pot dish you can make ahead and then heat it at the time.
Here's a bog with the general idea:
http://blogchef.net/mashed-potato-bowl-recipe/
Fry little bites of chicken tenders-season as you wish
Make mashed potatoes for the first layer
Then add corn on top-I like a bit of butter in the corn
Then add chicken nuggets
Pour gravy on top...I make with 2 T of flour in drippings and adding 1 chicken bullion cube to 1/2 cup of water to dissolve and then half a cup of milk and pour into flour and drippings. Season as you wish, but bullion has lots of salt, so I only add pepper.
Top with shredded cheddar cheese
One of my guilty pleasure foods.