Does Adobe Premiere support exporting videos that are web optimized?

Clarification of what I mean:

If you are encoding for the web and using the MP4 file format, you’ll want to turn on “Web Optimised” checkbox. This places the MP4 container header at the start of the file, optimizing it for streaming across the web.

This is often referred to as MP4 “Fast Start”.

I am using another video editor softwqare then taking that file and running it through handbrake to web-optimize it. I am looking for a 1 program solution.