No, but the two pursuits share a lot of common goals.
Think about marketing as your strategy to promote what you do for your clients: the services you offer, the strategies you use, and the success they can have if they work with you.
Now, think about branding as your strategy to promote who you are to your potential clients: what’s important to you as a professional, why you’re trustworthy, and why you’re the sort of person your clients want to work with.