Fashion bloggers absolutely can make money! In fact, many of them earn quite a pretty penny. Of course, how much money a fashion blogger makes depends on many factors, such as their blog's traffic, the number of sponsors they have, and whether or not they sell products on their site.
That said, it is possible for fashion bloggers to make a good living from their blog alone. For example, some top fashion bloggers charge brands upwards of $5,000 per post to feature their product on their site. And if a blogger has a large enough following, they could easily make tens of thousands of dollars per month just from sponsored posts and ads.
Of course, there are other ways fashion bloggers can make money as well. For instance, some sell products directly on their site (such as clothes or jewelry), while others offer paid subscription services (like styling advice or personal shopping). So really, the sky's the limit when it comes to how much money a fashion blogger can make!