It's the food equivalent of Little Free Libraries, basically.

I looked at the map and, sadly, you are correct that there are none in Indianapolis. [sadface]

Here are a couple of recommended places:
https://www.gleaners.org/

There is this page - weirdly, the listings are below the ads, so keep scrolling.

Edit: a few of them are even located somewhere other than a church!

https://www.foodpantries.org/ci/in-indianapolis