Audio [Q] How to have new music automatically go to Play's cloud that wasn't bought there?

So I have an idea, It may not be possible, but here we go.

I don't always get my music from the Play Store. Most of the time I've been using an app like Music Maniac. But I would really like to have the ease of uploading new songs to Google Play Music's cloud. Pretty much all the music I have is only on my phone.

So is there any way to make whatever a download from an app other than Play Music, like Music Maniac, automatically go into the cloud for Play Music?

This is my first post, so please go easy on me if I did something wrong.
Thanks!