Yup - though you need to make use of lib if you want to write es2016 TypeScript and have Babel transpile it. Not too hard to get set up though:

http://blog.johnnyreilly.com/2016/09/typescript-20-es2016-an...

before typescript@next I had exactlt that setup, but sourcemaps were broken despite all my attempts to make them work. Now I'm using ts 2.1 and have completely removed babel out of my build.