How unhealthy is it to eat late?

It's almost midnight here and I'm starving. I want to drive to go get some food. Obviously it would be some type of unhealthy fast food but I'm just so hungry and I know I won't be able to eat until at least 2 pm tomorrow. The last time I ate was at 3:30 pm today and I'm just so hungry but I'm overweight and afraid to eat more junk. I had a chick fil a sandwich, fries, and a chocolate milkshake and that's what I've had today. I don't want to get more fast good but I'm seriously so hungry with nothing to eat at home