Yes, you can learn to whistle, but as others said, it sounds like a combination of blowing too forcefully and having incorrect lip position. I say forceful instead of hard because how hard you blow does determine volume, but it’s the same sort of difference between singing loudly and yelling. It’s difficult to describe lip positioning any better off than pucking, so you’re best off with googling and looking at pictures. And even when you do it right, it will take a lot of practice to get really good at it. As such, my suggestion, is to find some alone time when you can make noise (commuting to/from work is perfect) and practice. When I used to work as a mover as an undergrad, I spent a lot of that time practicing and actually got pretty good.
That all said, I do think it will be more difficult if you don’t have a natural musical talent. That is, I’ve found that most people I know that know how to whistle are generally also good singers or at least play an instrument, and those I’ve known who’ve struggled didn’t do either. Of course, both are kind of small sets of people–how often do we really ask whether people can whistle–so I can’t give you a great idea of the strength of that trend.