I was looking at the wiki page of vue.js and saw this:
When compared to React development, Vue can be integrated to an existing web application much mor
No, Babel and Webpack is not necessary for React stack. You can still find other alternatives to build your favourite stack such as Browserify and Gulp.
However, if you want to make things easier, I do recommend you learn and use Babel and Webpack together with React because:
With webpack
There are many more advantages to use webpack which you can find here