Can the device be automatically shutdown and powered on through a built in timer?

Yes and no, this feature isn’t really a feature, this is just something we’re currently in the beginning stages of experimenting with and so it does not always function as expected, we don't offer any official support for this as of yet. we’ve gotten reports from people who have found success and failure through using the same methods. You can attempt to make use of this feature through adhering to the following information:

First turn off Fully Kiosk and exit Give a Little.

Navigate to Settings > Security > Screen Lock > Set to ‘None’

Then navigate to Settings > Scheduled power on/off > Input preferred settings

Go back to Fully Kiosk and return device to kiosk mode with Give a Little