Yes, this plugin is GPLv2+ and is available for embedding in apps. However, I must stress this — DO NOT attempt to bundle it in a product because that cuts all product customers off from any security releases that Pods (or any other plugin you bundle) that can range from minor to critical as the years go on. Are you allowed to? Yes, but we’ve seen it with other plugins like ACF and ACF Pro where people embed the plugin in their product and distribute the product but that leaves all of their customers exposed to way too many security risks.
If you do end up making money with Pods, we definitely want to stress the importance of continued support through one-time donations or a monthly donation membership at https://friends.pods.io — we could really use the support from those who are in the position to help us continue development of new features and enhancements.