A university education is not necessarily needed for marketing analytics. It is such a rapidly evolving field, that you can break in, by demonstrating your capabilities. Simply knowing all the tools and how to use them can help you secure a job.
To get more senior roles, yes, some college or other education is going to help. Especially if you’re aiming more at the analyst end of the spectrum. But you can get started without one.
Consider starting with a side project or two, doing your own analytics, or helping a friend do some marketing analytics on their business. Look for internship opportunities. So you get the opportunity to practice with real life work.
This is part of our Guide to Marketing Analytics