My chicks have had a good time chasing a fly that landed in the brooder today. It got too close to the heat lamp and became a "walk" instead of a "fly"

It took them about 10 minutes to eat it up, but once they did they began to search in earnest to find some more.
Question: Like all other chicks, they tend to scratch more food out of the feeder then they actually eat. Can I let the feeder run out for a while in hopes that they'll clean up the huge pile of food on the floor?