All you really need is access to a computer, the Internet, and some self determination. A degree may help you in some ways but it's not essential for many jobs,

All you really need is access to a computer, the Internet, and some self determination. A degree may help you in some ways but it's not essential for many jobs, including being a web developer. With that said - there's nothing stopping you from pursing both your degree and starting to freelance to see if you like it. If nothing else - it'll show potential employers that you're motivated and likely improve your skills in the process. You don't need permission to do great work. Good luck!