Welcome to the forums, @RyRInfo! And thanks for being a Club GreenSock member.
You can certainly create that effect using GSAP, although I probably wouldn't recommend doing it with background-image because that's limited to whole pixel values for position, so it can look rather jerky at slow speeds. It'd be much better to just use a regular image element or I guess you could use a <div> with background-image, but animate that whole element (and you can make the container <div> overflow:hidden). That way, you get the benefit of using transforms which tap into sub-pixel rendering. It's usually better for performance too.
This thread might be useful:
If you still need some help, please post a codepen demo that we can peek at.
As for GreenSock effect tutorials, we have a learning section at https://greensock.com/learning but there isn't an article specifically talking about the Ken Burns effect. There are tons of GSAP tutorials scattered across the web, though, so Google is your friend
Happy tweening!