No, please DON'T let any children play Doki-Doki literature club. It has been responsible for two separate deaths of children in the UK. I don't know about US. The free-to-play game opens with warning: "This game is not suitable for children" so why would any responsible adult, let alone parent, let their child go further.
Childhood's too short anyway. Do you want kids to be thinking about depression, self-harm and suicide and seeing gruesome acts on screen, then relating this to their first dating steps? You wouldn't let your kid hang out with someone whose only conversation was this, so why do it via the computer.