I would maybe worry about the chick being lonely if it's all by itself...
Some things I have put in my brooder to keep my chicks entertained:
- drawing dots and bugs with Sharpie on the side of the cardboard box I'm using as their brooder. They get really excited pecking at the dots and 'bugs'
- like the other commenter mentioned, I put a little mirror on the side of the box. They like to peck at the mirror and admire their reflections.
- perches of different heights and widths. They have been perching on them, sleeping on them, walking on them, and jumping on and off them. I've also made a see-saw with the pieces of wood and dowel, and I'm not sure if they loved it, but I thought it was adorable.
- I made a little swing out of a piece of wood and string and hung it from the top of their brooder. Admittedly, this hasn't been the most popular toy so far... they are pretty freaked out by it and mostly just try to peck at the string it's hanging from, but I have caught a couple of them sitting on it.
- I put a small wood crate tipped on one side, so they can jump on top of it and hang out or hide/sleep in it like a little cave.
- I put a shiny, silver bicycle bell in there, and they kind of look at themselves and peck at it to make it ring.
- I also try to leave some open spaces with fresh, deep shavings so they can take dust baths. I tried a box with sand and dirt, but they seem to prefer the pine shavings
I've also heard putting a stuffed animal in the brooder can be good for younger chicks, so you might try that? I've also heard some people putting a classic ostrich feather duster in the brooder, feather side down, so the chick can kind of hide in the feathers like it would a hen?