Link to topics from external

Is there a way to pull the latest headlines from the WordPress blog such that they can be shown on another page outside of WordPress?

In other words, I want to put WordPress on my website, but in its own directory (i.e. its part of my website, but is not the main page or the whole website). On the regular main page of my website, I want to pull the latest headlines from WordPress and subsequently make them links to their respective wordpress stories (or even just liking them to the WordPress main page would work). My main page is php, so I can write/use code to make this work.