Uh, yes? That is and always has been core functionality. You can click "install" on the Google Play website on your laptop and the app will magically appear on your phone, if both devices are signed in to Google. I triggered this behavior accidentally a good 10 years ago when I got my first Android phone, and it gave me the shivers - it really drove home the point that Google had root on my phone, not me.
In fact, this entire behavior is so normalized on phones we now have a special word for the process of downloading an app and installing it manually, the way we do on PCs: "sideloading".