XSS in script tags application/json – possible?

Is there way to execute alert box if " is not correctly escaped and can be injected in example below?

<script type="application/json">{"requests":{"postClicked":"https://google.com"}</script> 

injection:

<script type="application/json">{"requests":{"postClicked":"injection"}here"-alert()-"}</script> 

I have tried several ways to break the string, but still failing to execute alert box.