Are they all the same thing? Can a node program use react package, vice versa?
JavaScript (JS) is a programing language
There are many libraries and packages build for JS; one of these is React.
Further packages can be built using as dependencies a base package, for example, "react packages" are libraries built to extend functionalities from the react packages.
NodeJs is a platform or often refereed as a "runtime" for server-side applications. It uses the JS language in its syntax "node packages" are JS libraries built to be run by NodeJs.